Virtual Distortion Method (Lecture Notes in Engineering): 65 - Brossura

Holnicki-Szulc, Jan

 
9783540537793: Virtual Distortion Method (Lecture Notes in Engineering): 65

Sinossi

The theory of virtual distortions provides an efficient tool which can be used to treat many problems that differ from the physical point of view. The objective of this book is to present a general concept of the Virtual Distortion Method with the necessa

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Contenuti

1. Analysis of initial stresses and deformations caused by virtual distortions.- 1.1. Distortions in elastic body.- 1.2. Analysis of stresses and deformations caused by distortions.- 1.3. Examples of structures with distortions.- 1.4. Distortions in biphase body.- 1.5. Surface distortions.- 2. Simulation by virtual distortions.- 2.1. Simulation of geometrical and physical modifications in structures.- 2.1.1. General description of simulation concept.- 2.1.2. Material distribution modifications.- 2.1.3. Simulation of unilateral constraints on stresses.- 2.1.4. Simulation of unilateral constraints on deformations.- 2.1.5. Simulation of slackened structures.- 2.1.6. Discussion.- 2.2. Simulation of shape modifications in continuous bodies.- 2.2.1. Shape modification in elastic bodies.- 2.2.2. Optimal remodeling in 2D continuum.- 2.2.3. Generalized formulation ― the Michell structure.- 2.2.4. Conclusions.- 3. Optimal control by means of imposed virtual distortions.- 3.1. Passive control of stresses (prestress).- 3.1.1. Formulation of prestress problems.- 3.1.2. Minimization of global measure of stress and deformation states.- 3.1.3. Maximization of load capacity.- 3.1.4. Examples of prestress applications.- 3.1.5. Optimal surface prestress.- 3.2. Quasi-statical active control problems.- 3.2.1. Active control of structure stresses.- 3.2.2. Examples of active control of stresses.- 3.2.3. Active control of structure deflections.- 3.3. Active damping of vibration.- 3.3.1. The concept of damping through actively controlled virtual distortions.- 3.3.2. Simulation of viscous damping.- 3.3.3. Modal strategy of damping.- 3.3.4. Four degrees of freedom example.- 3.3.5. Conclusions.- 3.4. Active strategy of avoiding resonance.- 3.4.1. Optimal strategy of avoiding resonance.- 3.4.2. Example of beam with controllable support stiffness.- 3.4.3. Free vibration of beam with elastic support.- 3.4.4. Conclusions.- References.

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9780387537795: Virtual Distortion Method

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ISBN 10:  0387537791 ISBN 13:  9780387537795
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