Michell Structures

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Michell Structures

Author : Tomasz Lewiński
Publisher : Springer
ISBN 13 : 3319951807
Total Pages : 582 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Michell Structures by : Tomasz Lewiński

Download or read book Michell Structures written by Tomasz Lewiński and published by Springer. This book was released on 2018-09-27 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers the theory of Michell structures being the lightest and fully stressed systems of bars, designed within a given domain, possibly within the whole space, transmitting a given load towards a given support. Discovered already in 1904 by A.G.M. Michell, the structures named after him have attracted constant attention due to their peculiar feature of disclosing the optimal streams of stresses equilibrating a given load and thus determining the optimal layout of bars. The optimal layouts emerge from among all possible structural topologies, thus constituting unique designs being simultaneously light and stiff. The optimal structures turn out to be embedded in optimal vector fields covering the whole feasible domain. Key features include: a variationally consistent theory of bar systems, thin plates in bending and membrane shells; recapitulation of the theory of optimum design of trusses of minimum weight or of minimal compliance; the basis of 2D Michell theory for a single load case; kinematic and static approaches; 2D benchmark constructions including Hemp’s structures and optimal cantilevers; L-shape domain problems, three forces problem in 2D, bridge problems; revisiting the old - and delivering new - 3D benchmark solutions; extension to multiple load conditions; Prager-Rozvany grillages; the theory of funiculars and archgrids; the methods of optimum design of shape and material inspired by the theory of Michell structures, industrial applications. The book can be useful for graduate students, professional engineers and researchers specializing in the Optimum Design and in Topology Optimization in general.

Development of Michell Minimum Weight Structures

Author : Dhanjoo N. Ghista
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Development of Michell Minimum Weight Structures by : Dhanjoo N. Ghista

Download or read book Development of Michell Minimum Weight Structures written by Dhanjoo N. Ghista and published by . This book was released on 1968 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanical Design in Organisms

Author : Stephen A. Wainwright
Publisher : Princeton University Press
ISBN 13 : 9780691083087
Total Pages : 444 pages
Book Rating : 4.0/5 (83 download)

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Book Synopsis Mechanical Design in Organisms by : Stephen A. Wainwright

Download or read book Mechanical Design in Organisms written by Stephen A. Wainwright and published by Princeton University Press. This book was released on 1982-07-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with an interface between mechanical engineering and biology. It reviews biological structural materials and systems and their mechanically important features and demonstrates that function at any particular level of biological integration is permitted and controlled by structure at lower levels of integration.

Topology Optimization in Structural and Continuum Mechanics

Author : George I. N. Rozvany
Publisher : Springer Science & Business Media
ISBN 13 : 3709116430
Total Pages : 471 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Topology Optimization in Structural and Continuum Mechanics by : George I. N. Rozvany

Download or read book Topology Optimization in Structural and Continuum Mechanics written by George I. N. Rozvany and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.

Developments in the Theory of Michell Optimum Structures

Author : D. M. Richards
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Developments in the Theory of Michell Optimum Structures by : D. M. Richards

Download or read book Developments in the Theory of Michell Optimum Structures written by D. M. Richards and published by . This book was released on 1966 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Structural and Multidisciplinary Optimization

Author : Axel Schumacher
Publisher : Springer
ISBN 13 : 3319679880
Total Pages : 2101 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Advances in Structural and Multidisciplinary Optimization by : Axel Schumacher

Download or read book Advances in Structural and Multidisciplinary Optimization written by Axel Schumacher and published by Springer. This book was released on 2017-12-04 with total page 2101 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume includes papers from the WSCMO conference in Braunschweig 2017 presenting research of all aspects of the optimal design of structures as well as multidisciplinary design optimization where the involved disciplines deal with the analysis of solids, fluids or other field problems. Also presented are practical applications of optimization methods and the corresponding software development in all branches of technology.

The Design of Structures of Least Weight

Author : H. L. Cox
Publisher : Elsevier
ISBN 13 : 1483222586
Total Pages : 144 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Design of Structures of Least Weight by : H. L. Cox

Download or read book The Design of Structures of Least Weight written by H. L. Cox and published by Elsevier. This book was released on 2014-05-12 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Aeronautics and Astronautics, Division 1: Solid and Structural Mechanics, Volume 8: The Design of Structures of Least Weight focuses on the design of structures. This book reviews the considerations that determine the minimal structure weight and illustrates how these considerations may be expected to influence design. Topics discussed include the theory in design, structure loading coefficients and struts, wide struts, panels, and design of beams to transmit pure bending. The design of cantilevers, detail design of braced frames, basic theory of layout, and layout in practical design are also deliberated in this publication. This volume is recommended for design engineers and specialists intending to acquire knowledge of design structures of least weight.

Topology Design of Structures

Author : Martin P. Bendsøe
Publisher : Springer Science & Business Media
ISBN 13 : 9401118043
Total Pages : 564 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Topology Design of Structures by : Martin P. Bendsøe

Download or read book Topology Design of Structures written by Martin P. Bendsøe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992

Structural Design via Optimality Criteria

Author : George I. N. Rozvany
Publisher : Springer Science & Business Media
ISBN 13 : 9400911610
Total Pages : 488 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Structural Design via Optimality Criteria by : George I. N. Rozvany

Download or read book Structural Design via Optimality Criteria written by George I. N. Rozvany and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: "During the last two decades, research on structural optimization became increasingly concerned with two aspects: the application of general numeri cal methods of optimization to structural design of complex real structures, and the analytical derivation of necessary and sufficient conditions for the optimality of broad classes of comparatively simple and more or less ideal ized structures. Both kinds of research are important: the first for obvious reasons; the second, because it furnishes information that is useful in testing the validity, accuracy and convergence of numerical methods and in assess ing the efficiency of practical designs. {raquo} (Prager and Rozvany, 1977a) The unexpected death of William Prager in March 1980 marked, in a sense, the end of an era in structural mechanics, but his legacy of ideas will re main a source of inspiration for generations of researchers to come. Since his nominal retirement in the early seventies, Professor and Mrs. Prager lived in Savognin, an isolated alpine village and ski resort surrounded by some of Switzerland's highest mountains. It was there that the author's close as sociation with Prager developed through annual pilgrimages from Australia and lengthy discussions which pivoted on Prager's favourite topic of struc tural optimization. These exchanges took place in the picturesque setting of Graubunden, on the terrace of an alpine restaurant overlooking snow-capped peaks, on ski-lifts or mountain walks, or during evening meals in the cosy hotels of Savognin, Parsonz and Riom.

NASA Technical Note

Author :
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Note by :

Download or read book NASA Technical Note written by and published by . This book was released on 1968 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Design, Fabrication and Economy of Welded Structures

Author : K Jarmai
Publisher : Elsevier
ISBN 13 : 1782420487
Total Pages : 593 pages
Book Rating : 4.7/5 (824 download)

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Book Synopsis Design, Fabrication and Economy of Welded Structures by : K Jarmai

Download or read book Design, Fabrication and Economy of Welded Structures written by K Jarmai and published by Elsevier. This book was released on 2008-04-01 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings cover the fields of different materials and fatigue of welded joints, thin-walled structures, tubular structures, frames, plates and shells and also incorporate special optimization problems, fire and earthquake resistant design, special applications and applied mechanics, and thus provide an important reference for civil and mechanical engineers, architects, designers and fabricators. - Proceedings cover the fields of different materials and fatigue of welded joints, thin-walled structures, tubular structures, frames, plates and shells - Also incorporate special optimization problems, fire and earthquake resistant design, special applications and applied mechanics - Provide an important reference for civil and mechanical engineers, architects, designers and fabricators

Shell Structures: Theory and Applications Volume 4

Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 135168048X
Total Pages : 574 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Shell Structures: Theory and Applications Volume 4 by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications Volume 4 written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2017-10-30 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

Author : Martin Philip Bendsoe
Publisher : Springer Science & Business Media
ISBN 13 : 1402047525
Total Pages : 602 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials by : Martin Philip Bendsoe

Download or read book IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials written by Martin Philip Bendsoe and published by Springer Science & Business Media. This book was released on 2006-10-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers edited papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, October 2005. The papers cover the application of topological design optimization to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. Also in focus are new basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives.

Topology Optimization in Structural Mechanics

Author : G.I.N. Rozvany
Publisher : Springer
ISBN 13 : 3709125669
Total Pages : 325 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Topology Optimization in Structural Mechanics by : G.I.N. Rozvany

Download or read book Topology Optimization in Structural Mechanics written by G.I.N. Rozvany and published by Springer. This book was released on 2014-05-04 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization.

Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods

Author : G.I.N. Rozvany
Publisher : Springer
ISBN 13 : 3709127882
Total Pages : 493 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods by : G.I.N. Rozvany

Download or read book Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods written by G.I.N. Rozvany and published by Springer. This book was released on 2014-05-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape and layout optimization represent some of the most useful but also most difficult classes of problems in structural design, which have been investigated in detail only during the last few years. Shape optimization is concerned with the optimal shape of boundaries of continua or of interfaces between two materials in composites. Layout optimization deals with the simultaneous optimization of the topology, geometry and cross-sectional sizes of structural systems. In spite of its complextiy, layout optimization is a very rewarding task, because it results in much greater savings than the optimization of cross-sectional sizes only. Because of their important role in shape and layout optimization, the book also covers in detail new optimality criteria methods, which are capable of handling many thousand design variables and active design contraints. Shape and layout optimization is becoming an indispensable tool in the design of aeroplanes, space structures, cars, ships, building and civil engineering structures, power stations, chemical plants, artificial organs, sporting equipment, and all other solid systems where stresses and deformations play an important role.

Computer Aided Optimum Design in Engineering XI

Author : Santiago Hernández
Publisher : WIT Press
ISBN 13 : 184564185X
Total Pages : 289 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Computer Aided Optimum Design in Engineering XI by : Santiago Hernández

Download or read book Computer Aided Optimum Design in Engineering XI written by Santiago Hernández and published by WIT Press. This book was released on 2009 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particular emphasis is placed on computational methods to model, control and manage new structural solutions and material types. This integration of their design together with optimisation technologies is prevalent in all aspects of industry and research. This book contains the most significant papers presented in OPTI 2009. Following the spirit of previous editions some of them deal with the algorithmic part of this scientific discipline while other authors describe innovative design optimisation formulations in several engineering fields or practical applications in industrial problems. Research topics included: New and enhanced algorithms; Shape optimisation; Design optimisation in materials, construction and bridge engineering; Design optimization in aircraft engineering; Optimisation in dam and soil engineering.

Algorithm-Driven Truss Topology Optimization for Additive Manufacturing

Author : Christian Reintjes
Publisher : Springer Nature
ISBN 13 : 3658362111
Total Pages : 219 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Algorithm-Driven Truss Topology Optimization for Additive Manufacturing by : Christian Reintjes

Download or read book Algorithm-Driven Truss Topology Optimization for Additive Manufacturing written by Christian Reintjes and published by Springer Nature. This book was released on 2022-02-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Additive Manufacturing (AM) techniques allow the manufacture of complex-shaped structures the combination of lightweight construction, topology optimization, and AM is of significant interest. Besides the established continuum topology optimization methods, less attention is paid to algorithm-driven optimization based on linear optimization, which can also be used for topology optimization of truss-like structures. To overcome this shortcoming, we combined linear optimization, Computer-Aided Design (CAD), numerical shape optimization, and numerical simulation into an algorithm-driven product design process for additively manufactured truss-like structures. With our Ansys SpaceClaim add-in construcTOR, which is capable of obtaining ready-for-machine-interpretation CAD data of truss-like structures out of raw mathematical optimization data, the high performance of (heuristic-based) optimization algorithms implemented in linear programming software is now available to the CAD community.