Vibration Analysis of Thickness- and Width-Tapered Laminated Composite Beams Using Hierarchical Finite Element Method

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Book Synopsis Vibration Analysis of Thickness- and Width-Tapered Laminated Composite Beams Using Hierarchical Finite Element Method by : Mohammad Amin Fazili

Download or read book Vibration Analysis of Thickness- and Width-Tapered Laminated Composite Beams Using Hierarchical Finite Element Method written by Mohammad Amin Fazili and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Free Vibration Analysis of Tapered Composite Beams Using Hierarchical Finite Element Method

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Book Synopsis Free Vibration Analysis of Tapered Composite Beams Using Hierarchical Finite Element Method by : Lin Chen

Download or read book Free Vibration Analysis of Tapered Composite Beams Using Hierarchical Finite Element Method written by Lin Chen and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vibration Analysis of Composite Beams Using Hierarchical Finite Element Method

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Book Synopsis Vibration Analysis of Composite Beams Using Hierarchical Finite Element Method by : Amit K. Nigam

Download or read book Vibration Analysis of Composite Beams Using Hierarchical Finite Element Method written by Amit K. Nigam and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conventional finite element formulation has limitations in performing the dynamic analysis of composite beams. The discretization necessary for obtaining solutions with acceptable accuracy in the determination of dynamic response parameters leads to discontinuities in stress and strain distributions. The hierarchical finite element formulation provides us with the advantages of using fewer elements and obtaining better accuracy in the calculation of natural frequencies, displacements and stresses. The hierarchical finite element formulation for uniform and variable-thickness composite beams is developed in the present work. Two sub-formulations of hierarchical finite element method viz. polynomial and trigonometric sub-formulations have been developed. The efficiency and accuracy of the developed formulation are established in comparison with closed-form solutions for uniform composite beams. The static response of uniform composite beams is evaluated using the hierarchical finite element method. The dynamic response of variable-thickness composite beams is calculated based on the developed formulation. A detailed parametric study encompassing the influences of boundary conditions, laminate configuration, taper angle and the type of taper on the dynamic response of the beam is performed. The NCT-301 graphite-epoxy composite material is considered in the analysis and in the parametric study.

Vibrations of Thickness-and-width Tapered Laminated Composite Beams with Rigid and Elastic Supports

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Book Synopsis Vibrations of Thickness-and-width Tapered Laminated Composite Beams with Rigid and Elastic Supports by : Pooya Salajegheh

Download or read book Vibrations of Thickness-and-width Tapered Laminated Composite Beams with Rigid and Elastic Supports written by Pooya Salajegheh and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vibration and Buckling Analyses of Tapered Composite Beams Using Conventional and Advanced Finite Element Formulations

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Book Synopsis Vibration and Buckling Analyses of Tapered Composite Beams Using Conventional and Advanced Finite Element Formulations by : Abolghassem Zabihollah

Download or read book Vibration and Buckling Analyses of Tapered Composite Beams Using Conventional and Advanced Finite Element Formulations written by Abolghassem Zabihollah and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tapered composite beams are being used in various engineering applications such as helicopter yoke, robot arms and turbine blade in which the structure needs to be stiff at one location and flexible at another locations. Laminated tapered beams can be manufactured by terminating some plies at discrete locations. Different types of ply drop-off can be achieved depending on the application. Due to the variety of tapered composite beams and complexity of the analysis, no analytical solution is available at present and therefore finite element method has been used for the calculation of response. In the present thesis, the free vibration response and buckling of different types of tapered composite beams are analyzed first using conventional finite element formulation. Conventional finite element formulation requires a large number of elements to obtain acceptable results. In addition, continuity of curvature at element interfaces can not be guaranteed with the use of conventional formulation. As a result, stress distribution across the thickness is not continuous at element interfaces. In order to overcome these limitations, an advanced finite element formulation is developed in the present thesis for vibration and buckling analysis of tapered composite beams based on classical laminate theory and first-order shear deformation theory. The developed formulation is applied to the analysis of various types of tapered composite beams. The efficiency and accuracy of the developed formulation are established in comparison with available solutions, where applicable, as well as with the results obtained using conventional formulation. A detailed parametric study has been conducted on various types of tapered composite beams, all made of NCT/301 graphite-epoxy, in order to investigate the effects of boundary conditions, laminate configuration, taper angle, the ratio of the length of the thick section to the length of the thin section and the ratio of the height of the thick section, to the height of thin section.

American Society for Composites

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Publisher : DEStech Publications, Inc
ISBN 13 : 1605950513
Total Pages : 2760 pages
Book Rating : 4.6/5 (59 download)

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Book Synopsis American Society for Composites by : Michael Hyer

Download or read book American Society for Composites written by Michael Hyer and published by DEStech Publications, Inc. This book was released on 2011-06-28 with total page 2760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trefftz and Fundamental Solution-Based Finite Element Methods

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Publisher : Bentham Science Publishers
ISBN 13 : 9814998559
Total Pages : 357 pages
Book Rating : 4.8/5 (149 download)

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Book Synopsis Trefftz and Fundamental Solution-Based Finite Element Methods by : Qing-Hua Qin

Download or read book Trefftz and Fundamental Solution-Based Finite Element Methods written by Qing-Hua Qin and published by Bentham Science Publishers. This book was released on 2021-09-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.

Dynamic Response of Doubly-Tapered Laminated Composite Beams Under Periodic and Non-Periodic Loadings

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Book Synopsis Dynamic Response of Doubly-Tapered Laminated Composite Beams Under Periodic and Non-Periodic Loadings by : Pramod Kumar

Download or read book Dynamic Response of Doubly-Tapered Laminated Composite Beams Under Periodic and Non-Periodic Loadings written by Pramod Kumar and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Doubly-tapered laminated composite beams provide a great opportunity to enhance capabilities such as high strength-to-weight ratio, high modulus-to-weight ratio, and design flexibility. Due to design tailoring capabilities, the use of doubly-tapered composite beams has increased in the automobile industry and aerospace industry. In the present thesis, the free and forced vibration analyses of the width-and-thickness-tapered, called herein as doubly-tapered, laminated composite beams are conducted considering different boundary conditions, taper configurations, and loadings. The exact and closed-form solutions for the mode shapes and natural frequencies of doubly-tapered composite beams could not be acquired because of the complexity of the corresponding partial differential equations. Therefore, the classical laminate theory and the one-dimensional laminated beam theory in combination with the Ritz method are used in evaluating the stiffness and mass matrices of the composite beam. The natural frequencies and the corresponding mode shapes are determined by solving the eigenvalue problem obtained using the Ritz method. The forced vibration analysis of the doubly-tapered composite beams subjected to the transverse periodic and non-periodic loadings is carried out by representing the periodic loading as the superposition of the harmonic components of various frequencies using the Fourier series expansion and by expressing the non-periodic pulse excitation as the superposition of two or more simpler functions for which solutions are easier to determine. The maximum deflection of the doubly-tapered composite beam in spatial and time coordinates is determined. Numerical and symbolic computations have been performed using MATLAB® software. The solutions to the free and forced vibration analyses of the composite beams are compared, with the solution available in the literature and with the solution based on the Finite Element Method obtained using ANSYS®, to demonstrate solution accuracy. The Rayleigh damping is considered to model the viscous damping of the composite beam. A detailed parametric study is carried out to investigate the influences of the loading components in the Fourier series expansion, loading type, period of the periodic loading, the rise and fall times of the non-periodic loadings, taper angle, width ratio, thickness ratio, laminate length, stacking sequence, and taper configuration on the forced response of the doubly-tapered composite beam considering different boundary conditions.

Free and Forced Vibrations of Tapered Composite Beams Including the Effects of Axial Force and Damping

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Book Synopsis Free and Forced Vibrations of Tapered Composite Beams Including the Effects of Axial Force and Damping by : Hasnet Eftakher Uddin Ahmed

Download or read book Free and Forced Vibrations of Tapered Composite Beams Including the Effects of Axial Force and Damping written by Hasnet Eftakher Uddin Ahmed and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tapered composite beams formed by terminating or dropping-off some of the plies from primary structure are being used in various engineering applications since the mid-1980s. Because of their structural tailoring capabilities, damage tolerance and potential for creating significant weight savings in engineering applications such as helicopter yoke, robot arms and turbine blades, tapered composite beams have received much attention from engineers and researchers. Design of mechanical components using tapered composite beams requires a better understanding of their behavior on free and forced vibrations. In the present thesis, free and forced vibration analysis including the effects of axial force and damping of tapered composite beams is conducted using conventional, and higher-order finite elements and the Rayleigh-Ritz method. Composite beam samples are manufactured and tested for the determination of mechanical properties and damping loss factor. Conventional and higher- order finite element formulations are established based on classical laminate theory. Since conventional finite element has limitation in obtaining accurate results with fewer elements, higher-order finite element formulation is developed considering four degrees of freedom per node (deflection, rotation, curvature and gradient of curvature) to overcome that problem. Rayleigh-Ritz method is used to obtain solutions for different boundary conditions to validate the results obtained by finite element methods. A detailed parametric study is conducted to investigate the effects of boundary conditions, laminate configurations, taper configurations, taper angle, the ratio of the length of the thick section to the length of thin section, axial force, and damping. The NCT-301 graphite-epoxy composite material is used in the experimental work, analysis, and in the parametric study.

Free Vibration Analyses of Stationary and Rotating Tapered Composite Beams with Delamination

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis Free Vibration Analyses of Stationary and Rotating Tapered Composite Beams with Delamination by : Puneet Jagpaul

Download or read book Free Vibration Analyses of Stationary and Rotating Tapered Composite Beams with Delamination written by Puneet Jagpaul and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT Free Vibration Analyses of Stationary and Rotating Tapered Composite Beams with Delamination Puneet Jagpaul The exceptional engineering properties and customizability of the laminated composites have enabled their use in the design of the stationary and rotating tapered structures in the aerospace and energy sectors. The tailoring capabilities of the composite material can be used to stiffen the structure at one location while being flexible at other location and consequently reduce the weight, as required in specific applications such as helicopter rotor blade, windmill blade and turbine blade. The vibration characteristics (natural frequencies and mode shapes) of the stationary and rotating structures differ substantially and must be well identified in the design stage. The composite structures are prone to failures such as delamination and fiber-matrix debonding caused during their fabrication or in service, especially when used as blades and beams in various stationary and rotating applications. Delamination reduces the overall stiffness and the strength of the laminates, which may lead to local or sudden structural failures. The delaminated structure has reduced natural frequencies and exhibits different mode shapes than that of the intact structure. In the present thesis, the free vibration analyses of stationary and rotating tapered composite beams with delamination are conducted. The influence of the delamination on the vibration characteristics of the stationary and rotating tapered composite beams is comprehensively studied. The Finite Element Analysis tool ANSYS® is used to develop three-dimensional models of the intact and delaminated composite beams. The natural frequencies of the stationary and rotating intact cantilever composite beams are determined for uniform, thickness-tapered and doubly tapered beam profiles using modal analysis and the results are compared with the results available in the literature. The Mode-I and Mode-II delamination tests are performed on the numerical models of the double cantilever beam and end notch flexure test samples based on cohesive zone modeling and the results of the tests are verified with the available results. The critically stressed locations prone to delamination in the stationary and rotating composite beams are determined using the first-ply failure analyses based on Tsai-Wu failure criterion. The free vibration responses of the stationary and rotating composite beams with end and mid-span delaminations of different lengths and with different stacking sequences are obtained and they are verified wherever possible. The delamination length that has minimal effect on the first three natural frequencies of the uniform and thickness-tapered composite beams is determined and is found to be 5% of the total beam length. Higher modes should be investigated for the composite structures with smaller delamination. A basis for the non-destructive evaluation is suggested for the stationary thickness-tapered simply supported composite beams with end and mid-span delaminations. The influences of the delamination length, delamination location, fiber orientation angle, thickness-tapering, double tapering, layer reduction and taper angle on the free vibration response of the stationary and rotating delaminated composite beams are investigated for uniform, thickness-tapered and doubly tapered beam profiles through various parametric studies. The influences of the rotational velocity and hub radius on the natural frequencies of the rotating doubly tapered composite beams with delamination are thoroughly examined. The present thesis contributes towards the safe design of the composite structures. The studies performed are helpful for developing delamination detection techniques based on the free vibration response of tapered composite beams and can aid designers to model optimised tapered composite structures by considering the influences of delamination on their vibrational characteristics.

Dynamic Response of Width- and Thickness-tapered Composite Beams Using Rayleigh-Ritz Method and Modal Testing

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Book Synopsis Dynamic Response of Width- and Thickness-tapered Composite Beams Using Rayleigh-Ritz Method and Modal Testing by : Vijay Kumar Badagi

Download or read book Dynamic Response of Width- and Thickness-tapered Composite Beams Using Rayleigh-Ritz Method and Modal Testing written by Vijay Kumar Badagi and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Static and Vibration Analysis of Thick Generally Laminated Composite Deep Curved Beams

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (772 download)

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Book Synopsis Static and Vibration Analysis of Thick Generally Laminated Composite Deep Curved Beams by :

Download or read book Static and Vibration Analysis of Thick Generally Laminated Composite Deep Curved Beams written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous first order shear deformation theory (FSDT) is employed along with modified ABD parameters to analyze static and free vibration behavior of generally laminated beams and shafts. Different approaches for calculating composite beam stiffness parameters have been considered and the most accurate one that accounts for material couplings have been used to analyze static and free vibration behaviors of straight beams with different laminates and boundary conditions. In order to analyze curved beams, the term (1+z/R) is exactly integrated into ABD parameters formulation and an equivalent modulus of elasticity is used instead of traditional stiffness terms to account for both the deepness and material coupling of the beam structures. The model has been solved analytically for simply supported boundary conditions and the general differential quadrature (GDQ) technique has been used for other boundary conditions. The results for deflection, moment resultants, and natural frequencies of straight and curved beams with different deepness ratio (often called depth ratio), slenderness ratio, lamination, and boundary conditions are compared with those obtained from accurate three dimensional finite element simulations using ANSYS. The results were in close proximity to three dimensional finite element results. The model is then applied to transverse vibration analysis of multi-span generally laminated composite shafts with a lumped mass using GDQ. The results for natural frequencies are compared to experimental and other analytical models as well as finite element simulation. The results in the present analyses were found accurate. Conclusively, it has been shown that when considering more accurate stiffness parameters, a First Order Shear Deformation Theory can accurately predict static and free vibration behaviors of composite beams and multispan shafts of any deepness, lamination and boundary conditions.

Dynamic Analysis and Buckling of Variable Thickness Laminated Composite Beams Using Conventional and Advanced Finite Element Formulations

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ISBN 13 :
Total Pages : 0 pages
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Book Synopsis Dynamic Analysis and Buckling of Variable Thickness Laminated Composite Beams Using Conventional and Advanced Finite Element Formulations by : Mohamed A. Abd El-Maksoud

Download or read book Dynamic Analysis and Buckling of Variable Thickness Laminated Composite Beams Using Conventional and Advanced Finite Element Formulations written by Mohamed A. Abd El-Maksoud and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The behavior of variable thickness laminated composite beams has not so far been fully understood. In the present thesis, a finite element formulation is established for uniform and variable thickness composite beams (externally and mid-plane tapered composite beams). First the conventional formulation is used to establish the stiffness, geometric stiffness (for constant axial load, uniformly distributed axial load, and non-uniformly distributed axial load), and mass matrices. Second a new formulation (advanced formulation) is established, which considers not only the geometric boundary conditions, but also the natural boundary conditions. This means that at each node there will be four degrees of freedom, that are deflection, slope, bending moment, and shear force, such that all physical parameters that can be encountered in any practical situation can be included in the element formulation. The new stiffness, geometric stiffness, and mass matrices corresponding to the new formulation are set up. These matrices are provided into the MATLAB ® environment to obtain the natural frequencies and the critical buckling load.

Free Vibration and Dynamic Instability Analyses of Doubly-tapered Rotating Laminated Composite Beams

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ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Free Vibration and Dynamic Instability Analyses of Doubly-tapered Rotating Laminated Composite Beams by : Saemul Seraj

Download or read book Free Vibration and Dynamic Instability Analyses of Doubly-tapered Rotating Laminated Composite Beams written by Saemul Seraj and published by . This book was released on 2016 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the outstanding engineering properties, such as high strength/stiffness to weight ratios, capability to be stiff at one location and flexible at another location and favorable fatigue characteristics, doubly-tapered composite beam is used in the rotating structures such as helicopter rotor blades and wind turbine blades. Due to its distinct characteristics from static beam and wide range of applications, rotating beam requires a comprehensive research to understand its dynamic response. Design of mechanical components using doubly-tapered composite beams requires a better understanding of their behavior in free vibration and their dynamic instability. In the present thesis, free vibration and dynamic instability analyses of doubly-tapered rotating cantilever composite beams are conducted considering three different types of vibrations (out-of-plane bending, in-plane bending and axial). Rayleigh-Ritz approximate method based on classical lamination theory has been employed to formulate the free vibration problem and solve it. Bolotin’s method is applied to determine the instability regions. Numerical and symbolic computations have been performed using the software MATLAB. The results for natural frequencies have been validated using Finite Element Analysis (FEA) tool ANSYS. A comprehensive parametric study is conducted in order to understand the effects of various design parameters. Moreover, critical speed of doubly-tapered rotating composite beam is determined and change of critical speed due to double-tapering is investigated. Also, change in maximum deflection due to rotational velocity and double-tapering is observed in this thesis. The material chosen in this thesis for numerical calculations is NCT-301 graphite-epoxy prepreg.

Stability and Failure of High Performance Composite Structures

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Publisher : Springer Nature
ISBN 13 : 9811924244
Total Pages : 517 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Stability and Failure of High Performance Composite Structures by : Shamsher Bahadur Singh

Download or read book Stability and Failure of High Performance Composite Structures written by Shamsher Bahadur Singh and published by Springer Nature. This book was released on 2022-07-05 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written to introduce the application of high-performance composite materials such as fiber reinforced polymers, functionally graded composites, and sustainable fiber reinforced composites for development of thin-walled plated structures, beams, girders, and deck structures subjected to different kinds of loads. This book also includes test cases and its validation with finite element method using general purpose commercial computer software. Moreover, the book also deals with design methodology of advanced composite materials based on different applications. The comprehensive overview of the state-of-the-art research on the high-performance composite structures dealing with their stability, response, and failure characteristics will be of significant interest to scientists, researchers, students, and engineers working in the thrust area of advanced composite structures. This book is also helpful for Ph.D. candidates for developing their fundamental understanding on high-performance composite structures, and it will also appropriate for master- and undergraduate-level courses on design of composite structures especially for Civil Engineering Infrastructures.

Analysis, Design Optimization and Vibration Suppression of Smart Laminated Beams

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Analysis, Design Optimization and Vibration Suppression of Smart Laminated Beams by : Abolghassem Zabihollah

Download or read book Analysis, Design Optimization and Vibration Suppression of Smart Laminated Beams written by Abolghassem Zabihollah and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermal Post-buckling and Vibration Analysis of Thermally Buckled Antisymmetrically Laminated Beams Using a 20 DOF Finite Element

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ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (268 download)

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Book Synopsis Thermal Post-buckling and Vibration Analysis of Thermally Buckled Antisymmetrically Laminated Beams Using a 20 DOF Finite Element by : Misao Mizuno

Download or read book Thermal Post-buckling and Vibration Analysis of Thermally Buckled Antisymmetrically Laminated Beams Using a 20 DOF Finite Element written by Misao Mizuno and published by . This book was released on 1992 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The purpose of this study is to use the finite element method to analyze thermal buckling, post-buckling, and vibrations of thermally buckled composite beams including shear deformation."--Leaf v.