Book contents
- Frontmatter
- Contents
- List of Symbols
- Preface
- Chapter 1 Introduction to Analysis of Low Speed Impact
- Chapter 2 Rigid Body Theory for Collinear Impact
- Chapter 3 Rigid Body Theory for Planar or 2D Collisions
- Chapter 4 3D Impact of Rough Rigid Bodies
- Chapter 5 Rigid Body Impact with Discrete Modeling of Compliance for the Contact Region
- Chapter 6 Continuum Modeling of Local Deformation Near the Contact Area
- Chapter 7 Axial Impact on Slender Deformable Bodies
- Chapter 8 Impact on Assemblies of Rigid Elements
- Chapter 9 Collision against Flexible Structures
- Chapter 10 Propagating Transformations of State in Self-Organizing Systems
- Appendix A Role of Impact in the Development of Mechanics During the Seventeenth and Eighteenth Centuries
- Appendix B Glossary of Terms
- Answers to Some Problems
- References
- Index
Chapter 5 - Rigid Body Impact with Discrete Modeling of Compliance for the Contact Region
Published online by Cambridge University Press: 08 January 2010
- Frontmatter
- Contents
- List of Symbols
- Preface
- Chapter 1 Introduction to Analysis of Low Speed Impact
- Chapter 2 Rigid Body Theory for Collinear Impact
- Chapter 3 Rigid Body Theory for Planar or 2D Collisions
- Chapter 4 3D Impact of Rough Rigid Bodies
- Chapter 5 Rigid Body Impact with Discrete Modeling of Compliance for the Contact Region
- Chapter 6 Continuum Modeling of Local Deformation Near the Contact Area
- Chapter 7 Axial Impact on Slender Deformable Bodies
- Chapter 8 Impact on Assemblies of Rigid Elements
- Chapter 9 Collision against Flexible Structures
- Chapter 10 Propagating Transformations of State in Self-Organizing Systems
- Appendix A Role of Impact in the Development of Mechanics During the Seventeenth and Eighteenth Centuries
- Appendix B Glossary of Terms
- Answers to Some Problems
- References
- Index
Summary
In ancient days two aviators procured to themselves wings. Daedalus flew safely through the middle air and was duly honoured on his landing. Icarus soared upwards to the sun till the wax melted which bound his wings and his flight ended in fiasco … The classical authorities tell us, of course, that he was only ‘doing a stunt’; but I prefer to think of him as the man who brought to light a serious constructional defect in the flying-machines of his day.
So, too, in science. Cautious Daedalus will apply his theories where he feels confident they will safely go; but by his excess of caution their hidden weaknesses remain undiscovered. Icarus will strain his theories to the breaking-point till the weak joints gape. For the mere adventure? Perhaps partly, that is human nature. But if he is destined not yet to reach the sun … we may at least hope to learn from his journey some hints to build a better machine.
Sir Arthur Eddington, Stars and Atoms, 1927.In this chapter lumped parameter models for compliance of the deforming region are used to examine the influence of factors which previously in this book were assumed to be negligibly small – namely the effects of (a) a viscoelastic or rate-dependent normal compliance relation and (b) tangential compliance. Because these factors depend on the interaction force and not simply the impulse, the analysis of their effects necessarily uses time rather than normal impulse as an independent variable.
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- Impact Mechanics , pp. 86 - 115Publisher: Cambridge University PressPrint publication year: 2000
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