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Engineering Mechanics: Dynamics - Computational Edition - SI Version 1st Edition

Robert W. Soutas-Little, Daniel J. Inman, Daniel S. Balint

  • Published
  • 541 Pages


Focusing on the conceptual understanding of mechanics, this exciting new text addresses developments in the methods of analyzing mechanics problems. It fully incorporates the highly sophisticated computational software packages currently available to students. The text provides transition material to higher level courses, as well as a wealth of problems to foster understanding. All sample problems and the use of computational software (Mathcad, MATLAB, Mathematica and Maple) are presented in four separate manuals (one for each software program). Each manual explains how to use the software package to solve the example problems in the book.

Robert W. Soutas-Little, Michigan State University

Robert W. Soutas-Little received his Ph.D. from the University of Wisconsin in 1962 and is now a Professor Emeritus in the Departments of Mechanical Engineering and Materials Science and Mechanics at Michigan State University. Author to 6 books on the topics of Elasticity, Engineering Mechanics, Statics, and Dynamics, Dr. Soutas-Little has also published over 60 journal papers and chapters in books as well as co-authoring 15 technical reports. He has Directed 22 PhD’s as well as 150 M.S. Students and prior to teaching at Michigan State he held positions at Oklahoma State University, University of Wisconsin, Marquette University, Technion in Israel, and a MSU summer program at Cambridge University, England. He is a Founding Member of the American Society of Biomechanics, a Charter Member or the Society of Engineering Science, a Member of the International Society of Biomechanics, the American Society of Mechanical Engineering, and the American Association for the Advancement of Science. Dr. Soutas-Little has been the recipient of the Western Electric Award for Teaching Excellence in Engineering in 1970, the Goldberg Chair in 1982, the Distinguished Faculty Award – Michigan State University in 1995, named a Fellow of the American Society of Mechanical Engineers in 1996, received the Withrow Teaching Excellence Award in 1997, the Withrow Distinguished Scholar Award in 1999, as well as receiving many research contracts and grants between 1962 and 1999. His research interests include Biomechanics, Dynamics, Applied Mathematics, Elasticity, and Continuum Mechanics.

Daniel J. Inman, Virginia Polytechnic Institute

Daniel J. Inman received his Ph.D. from Michigan State University in Mechanical Engineering in 1980 and is the Director of the Center for Intelligent Material Systems and Structures and the G.R. Goodson Professor in the Department of Mechanical Engineering at Virginia Tech. Since 1980, he has published six books (on vibration, control, statics, and dynamics), eight software manuals, 20 book chapters, over 195 journal papers and 380 proceedings papers, given 34 keynote or plenary lectures, graduated 45 Ph.D. students and supervised more than 65 MS degrees. He is a Fellow of the American Academy of Mechanics (AAM), the American Society of Mechanical Engineers (ASME), the International Institute of Acoustics and Vibration (IIAV), and the American Institute of Aeronautics and Astronautics (AIAA). He is currently Technical Editor of the Journal of Intelligent Material Systems and Structures (1999- ), Technical Editor of the Shock and Vibration Digest (1998- ), and Technical Editor of the journal Shock and Vibration (1999- ). He has served as Technical Editor of ASME Journal of Vibration and Acoustics (1990-1999), and as Associate Editor of the following: ASME Journal of Vibration and Acoustics (1986-89), ASME Journal of Applied Mechanics (1988-94), Mechanics of Machines and Structures (1986-98), International Journal of Analytical and Experimental Modal Analysis (1986-1990) and Journal of Intelligent Material Systems and Structures (1992-1999) and Smart Materials and Structures (1991-2001). He is a founding member of the ASME Adaptive Structures and Material Systems Technical Committee and the AIAA Adaptive Structures Technical Committee. He won the ASME Adaptive Structures Award in April 2000, the ASME/AIAA SDM Best Paper Award in April 2001, the SPIE Smart Structures and Materials Life Time Achievement Award in March of 2003, the ASME Best Paper in Adaptive Structures in 2007, and the ASME Den Hartog Award in 2007

Daniel S. Balint, Imperial College London

Daniel S. Balint received his PhD in Engineering Science from Harvard University in 2003. He is currently a Lecturer on Structural Integrity for the Department of Mechanical Engineering at Imperial College London. He is co-author to 10 textbooks and supplements on the topic of Engineering Mechanics as well as co-author of 14 journal articles. Dr. Balint is a member of The Scientific Research Society, the American Society of Mechanical Engineers, and the Golden Key International Honor Society. During his academic career he received 10 awards including the Harvard University Certificate of Distinction in Teaching – 2001, and the National Defense Science and Engineering Graduate Fellowship – 1998. His areas of research interest include discrete dislocation modeling, size effects in materials, failure in thermal barrier coatings and functionally graded materials, thin film delamination and fracture, multiscale modeling of elastic/plastic fracture, computational techniques in solid mechanics, and orthopedic biomechanics.
1. Kinematics of a Particle
Introduction / Rectilinear Motion of a Particle: Single Degree of Freedom / Classification of the Kinematics or Dynamics Problem / Inverse Dynamics Problem / The Direct Dynamics Problem: Rectilinear Motion When the Acceleration is Given / Classification of Differential Equations / Separable First Order Scalar Differential Equations / Special Rectilinear Motions / Solution of a Liner First Order Differential Equation by Use of An Integrating Factor / Second Order Linear Differential Equations / Numerical Solution of Differential Equations / Curvilinear Motion of a Particle / Vector Differential Equation / Projectile Motion / Normal and Tangential Coordinates / Circular Motion / Normal and Tangential Coordinates in Three Dimensions / Radial and Transverse Coordinates (Polar Coordinates) / Three-Dimensional Coordinate Systems / Cylindrical Coordinates / Spherical Coordinates / relative Rectilinear Motion of Several particles / General Relative Motion between Particles / Navigation using Relative Velocity / Dependent Motions Between Two or More Particles / Kinematic Parametric Equations / Trajectories Expressed as Function of Parameters / Parametric Equations for Three-Dimensional Trajectories

2. Kinetics of Particles
Introduction / Equations of Motion for a Particle/ Solution Strategy for Particle Dynamics / Review of the Concepts of Static and Kinetic Friction / Determination of the Direction of the Normal and Friction Forces / Discontinuity and Singularity Functions / Normal and Tangential Coordinates / Two-Dimensional Parametric Equations of Dynamics / Polar Coordinates / Angular Momentum of a Particle / Central Force Motion / Three-Dimensional Particle Dynamics in Curvilinear Coordinates . Cylindrical Coordinates / Spherical Coordinates / Parametric Equations in Tangential, Normal and Binormal Coordinates

3. Work - Energy and Impulse - Momentum First Integrals of Motion
Introduction / Power, Work and Energy / Work of a Spring Force / Work of the Gravitational Attraction Force Between Two Masses / Power and Efficiency / Conservative Forces and Potential Energy / Conservative Energy / Principle of Impulse and momentum . Impulse and Momentum of Several Particles / Impact / Direct Central Impact / Oblique Central Impact / Impact with a Stationary Object

4. System of Particles
Introduction / General Equations for a System of Particles / Center of mass of a System of Particles / Kinetic Energy of a System of Particles / Work-Energy and Conservation of Energy of a System of Particles / Mass Flows / Steady Mass Flow / Variable Mass Flow

5. Kinematics of Rigid Bodies
Introduction / Translation of a Rigid Body / Rotation About a Fixed Axis / Planar Pure Rotation about an Axis Perpendicular to the Plane of Motion / Vector Relations for Rotation in a Plane / Constraints to the Motion / General Plane Motion / Absolute and Relative Velocities in Plane Motion of a Rigid Body / Experimental Motion Data / Angular Velocity for Noisy Experimental Data / Direct Vector Method to Obtain the Angular Velocity / Instantaneous Center of Rotation in Plane Motion / Instantaneous Center of Rotation between Two Rigid Bodies / Absolute and Relative Acceleration of a Rigid Body in Plane Motion / Alternate Solution of the Acceleration of Rigid Bodies / Kinematics of a System of Rigid Bodies / Analysis of Plane Motion in Terms of a Parameter / General Three-Dimensional Motion of a Rigid Body / Linear and Angular Acceleration / Constraints to the General Three-Dimensional Motion of a Rigid Body / Rigid Body with a Fixed Point in Space / Other Constraints / Instantaneous Helical Axis, or Screw Axis / Motion of a Rigid Body Having a Fixed Point in Space / Instantaneous Helical Axis of Rotation between Two Rigid Bodies / Motion with Respect to Rotating Reference Frame or Coordinate System

6. Dynamics of Rigid Bodies in Plane Motion
Introduction / Linear and Angular Momentum / Equations of Motion for Rigid Bodies in Plane Motion / Constraints on the Motion / Computational Methods for Plane Dynamic Systems / Systems of Rigid Bodies or Particles / D''''Alembert''''s Principle

7. Power, Work, Energy, Impulse, and Momentum of a Rigid Body
Power, Work, and Energy of a Rigid Body / Systems of Rigid Bodies and Particles / Conservation of Energy / Impulse and Momentum / Eccentric Impact on a Single Rigid Body / Eccentric Impact

8. Three-Dimensional Dynamics of Rigid Bodies
Introduction / Rotational Transformation between Coordinate Systems / Coordinate Transformations / Eulerian Angles / Angular Motion / Joint Coordinate System / Equations of Motion / Euler''''s Equations of Motion / Stability of Rotation about a Principle Axis / Motion of an Axisymmetric Object / Heavy Axisymmetric Top / Gyroscopic Motion with Steady Procession / Motion of an Axisymmetric Body Subjected to no External Forces / The Gyroscope

9. Vibration
Introduction / Undamped Single-Degree-of-Freedom Systems / Linear Vibration / Nonlinear Vibration / Damped Single-Degree-of-Freedom Systems / Undamped Motion / Overdamped Motion / Critically Damped Motion / Nonlinear Damping / Forced Response and Resonance

Appendix A Mass Moment of Inertia
Appendix B Vector Calculus and Ordinary Differential Equations
Dynamics Index Dictionary
Answers to Selected Problems