Impact mechanics

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Impact mechanics / W.J. Stronge

資料種別:: 図書
出版情報:: Cambridge : Cambridge University Press, c2000
形態:: xix, 280 p. ; 26 cm
著者名:: Stronge, W. J. (William James), 1937- <DA07770298>
ISBN:: 9780521632867 [0521632862]
書誌ID:: BA48282732

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注記:

Includes bibliographical references (p. 271-276) and index

主題:

Impact

言語:

英語

目次情報:

List of Symbols

Preface

Introduction to Analysis of Low Speed Impact / Chapter 1：

Terminology of Two Body Impact / 1.1：

Configuration of Colliding Bodies / 1.1.1：

Relative Velocity at Contact Point / 1.1.2：

Interaction Force / 1.1.3：

Classification of Methods for Analyzing Impact / 1.2：

Description of Rigid Body Impact / 1.2.1：

Description of Transverse Impact on Flexible Bodies / 1.2.2：

Description of Axial Impact on Flexible Bodies / 1.2.3：

Applicability of Theories for Low Speed Impact / 1.2.4：

Principles of Dynamics / 1.3：

Particle Kinetics / 1.3.1：

Kinetics for a Set of Particles / 1.3.2：

Kinetic Equations for a Rigid Body / 1.3.3：

Rate of Change for Moment of Momentum of a System about a Point Moving Steadily Relative to an Inertial Reference Frame / 1.3.4：

Decomposition of a Vector / 1.4：

Vectorial and Indicial Notation / 1.5：

Rigid Body Theory for Collinear Impact / Chapter 2：

Equation of Relative Motion for Direct Impact / 2.1：

Compression and Restitution Phases of Collision / 2.2：

Kinetic Energy of Normal Relative Motion / 2.3：

Work of Normal Contact Force / 2.4：

Coefficient of Restitution and Kinetic Energy Absorbed in Collision / 2.5：

Velocities of Contact Points at Separation / 2.6：

Partition of Loss of Kinetic Energy / 2.7：

Rigid Body Theory for Planar or 2D Collisions / Chapter 3：

Equations of Relative Motion at Contact Point / 3.1：

Impact of Smooth Bodies / 3.2：

Friction from Sliding of Rough Bodies / 3.3：

Amontons-Coulomb Law of Dry Friction / 3.3.1：

Equations of Planar Motion for Collision of Rough Bodies / 3.3.2：

Contact Processes and Evolution of Sliding during Impact / 3.3.3：

Work of Reaction Impulse / 3.4：

Total Work Equals Change in Kinetic Energy / 3.4.1：

Partial Work by Component of Impulse / 3.4.2：

Energetic Coefficient of Restitution / 3.4.3：

Terminal Impulse p[subscript f] for Different Slip Processes / 3.4.4：

Friction in Collinear Impact Configurations / 3.5：

Friction in Noncollinear Impact Configurations / 3.6：

Planar Impact of Rigid Bar on Rough Half Space / 3.6.1：

3D Impact of Rough Rigid Bodies / Chapter 4：

Collision of Two Free Bodies / 4.1：

Law of Friction for Rough Bodies / 4.1.1：

Equation of Motion in Terms of the Normal Impulse / 4.1.2：

Sliding that Halts during Collision / 4.1.3：

Terminal Normal Impulse from Energetic Coefficient of Restitution / 4.1.4：

Oblique Collision of a Rotating Sphere on a Rough Half Space / 4.2：

Slender Rod that Collides with a Rough Half Space / 4.3：

Slip Trajectories or Hodographs / 4.3.1：

Equilateral Triangle Colliding on a Rough Half Space / 4.4：

Slip Trajectories and Hodograph for Equilateral Triangle Inclined at [theta] = [pi]/4 / 4.4.1：

Spherical Pendulum Colliding on a Rough Half Space / 4.5：

Numerical Results for [theta] = [pi]/3 and [pi]/4 / 4.5.1：

General 3D Impact / 4.6：

Rigid Body Impact with Discrete Modeling of Compliance for the Contact Region / Chapter 5：

Direct Impact of Viscoelastic Bodies / 5.1：

Linear Viscoelasticity-the Maxwell Model / 5.1.1：

Simplest Nonlinear Viscoelastic Deformable Element / 5.1.2：

Hybrid Nonlinear Viscoelastic Element for Spherical Contact / 5.1.3：

Parameters of the Hybrid Nonlinear Element for Impact on a Golf Ball / 5.1.4：

Tangential Compliance in Planar Impact of Rough Bodies / 5.2：

Dynamics of Planar Collision for Hard Bodies / 5.2.1：

Slip Processes / 5.2.2：

Oblique Impact of an Elastic Sphere on a Rough Half Space / 5.2.3：

Dissipation of Energy / 5.2.4：

Effects of Tangential Compliance / 5.2.5：

Bounce of a Superball / 5.2.6：

Continuum Modeling of Local Deformation Near the Contact Area / Chapter 6：

Quasistatic Compression of Elastic-Perfectly Plastic Solids / 6.1：

Elastic Stresses-Hertzian Contact / 6.1.1：

Indentation at Yield of Elastic-Plastic Bodies / 6.1.2：

Quasistatic Elastic-Plastic Indentation / 6.1.3：

Fully Plastic Indentation / 6.1.4：

Elastic Unloading from Maximum Indentation / 6.1.5：

Resolved Dynamics of Planar Impact / 6.2：

Direct Impact of Elastic Bodies / 6.2.1：

Eccentric Planar Impact of Rough Elastic-Plastic Bodies / 6.2.2：

Coefficient of Restitution for Elastic-Plastic Solids / 6.3：

Partition of Internal Energy in Collision between Dissimilar Bodies / 6.4：

Composite Coefficient of Restitution for Colliding Bodies with Dissimilar Hardness / 6.4.1：

Loss of Internal Energy to Elastic Waves / 6.4.2：

Applicability of the Quasistatic Approximation / 6.5：

Transverse Impact of Rough Elastic-Plastic Cylinders-Applicability of Energetic Coefficient of Restitution / 6.6：

Elastic Normal Compliance / 6.6.1：

Yield for Plane Strain Deformation / 6.6.2：

Elastic-Plastic Indentation / 6.6.3：

Analyses of Contact Forces for Oblique Impact of Rough Cylinders / 6.6.4：

Loss of Internal Energy to Elastic Waves for Planar (2D) Collisions / 6.6.6：

Synopsis for Spherical Elastic-Plastic Indentation / 6.7：

Axial Impact on Slender Deformable Bodies / Chapter 7：

Longitudinal Wave in Uniform Elastic Bar / 7.1：

Initial Conditions / 7.1.1：

Reflection of Stress Wave from Free End / 7.1.2：

Reflection from Fixed End / 7.1.3：

Reflection and Transmission at Interface-Normal Incidence / 7.1.4：

Spall Fracture Due to Reflection of Stress Waves / 7.1.5：

Planar Impact of Rigid Mass against End of Elastic Bar / 7.2：

Boundary Condition at Impact End / 7.2.1：

Boundary Condition at Dashpot End / 7.2.2：

Distribution of Stress and Particle Velocity / 7.2.3：

Experiments / 7.2.4：

Impact, Local Indentation and Resultant Stress Wave / 7.3：

Wave Propagation in Dispersive Systems / 7.4：

Group Velocity / 7.4.1：

Transverse Wave in a Beam / 7.5：

Euler-Bernoulli Beam Equation / 7.5.1：

Rayleigh Beam Equation / 7.5.2：

Timoshenko Beam Equation / 7.5.3：

Comparison of Euler-Bernoulli, Rayleigh and Timoshenko Beam Dynamics / 7.5.4：

Impact on Assemblies of Rigid Elements / Chapter 8：

Impact on a System of Rigid Bodies Connected by Noncompliant Bilateral Constraints / 8.1：

Generalized Impulse and Equations of Motion / 8.1.1：

Equations of Motion Transformed to Normal and Tangential Coordinates / 8.1.2：

Impact on a System of Rigid Bodies Connected by Compliant Constraints / 8.2：

Comparison of Results from Alternative Analytical Approximations for Multibody Systems with Unilateral Constraints / 8.2.1：

Numerical Simulation and Discussion of Multibody Impact / 8.2.2：

Spatial Gradation of Normal Contact Stiffness [kappa subscript j] = [chi superscript kappa] / 8.2.3：

Applicability of Simultaneous Impact Assumption / 8.2.4：

Collision against Flexible Structures / Chapter 9：

Free Vibration of Slender Elastic Bodies / 9.1：

Free Vibration of a Uniform Beam / 9.1.1：

Eigenfunctions of a Uniform Beam with Clamped Ends / 9.1.2：

Rayleigh-Ritz Mode Approximation / 9.1.3：

Single Degree of Freedom Approximation / 9.1.4：

Transverse Impact on an Elastic Beam / 9.2：

Forced Vibration of a Uniform Beam / 9.2.1：

Impact of a Perfectly Plastic Missile / 9.2.2：

Effect of Local Compliance in Structural Response to Impact / 9.2.3：

Impact on Flexible Structures - Local or Global Response? / 9.2.4：

Propagating Transformations of State in Self-Organizing Systems / Chapter 10：

Systems with Single Attractor / 10.1：

Ball Bouncing down a Flight of Regularly Spaced Steps / 10.1.1：

Systems with Two Attractors / 10.2：

Prismatic Cylinder Rolling down a Rugh Inclined Plane / 10.2.1：

The Domino Effect - Independent Interaction Theory / 10.2.2：

Domino Toppling - Successive Destabilization by Cooperative Neighbors / 10.2.3：

Wavefront Stability for Multidimensional Domino Effects / 10.2.4：

Approach to Chaos - an Unbounded Increase in Number of Attractors / 10.3：

Periodic Vibro-impact of Single Degree of Freedom Systems / 10.3.1：

Period One Orbits / 10.3.2：

Poincare Section and Return Map / 10.3.3：

Stability of Orbit and Bifurcation / 10.3.4：

Role of Impact in the Development of Mechanics During the Seventeenth and Eighteenth Centuries / Appendix A：

Historical References

Glossary of Terms / Appendix B：

Answers to Some Problems

References

Index

List of Symbols

Preface

Introduction to Analysis of Low Speed Impact / Chapter 1：

Terminology of Two Body Impact / 1.1：

Configuration of Colliding Bodies / 1.1.1：

Relative Velocity at Contact Point / 1.1.2：

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