Synopses & Reviews
This supplement is intended to teach the reader how to solve dynamics problems using Maple. While the manual suggests ways to use Maple to enhance your understanding of dynamics and teaches you efficient computational skills, you should feel free to browse the Maple manual and create your own methods for solving problems and for using Maple. Quality technical documents can be created entirely within Maple. These manuals are an example of this, demonstrating the software's capability. As a consequence, the input and output for formats presented in this manual are consistent with actual Maple input and output. The first chapter is a general introduction to Maple that concludes with a sample application and can be studied while reading the first chapter of the accompanying text.
About the Author
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.
Table of Contents
Introduction Numerical Calculations Working with Functions Symbolic Calculations Solving Algebraic Equations Graphs and Plots Vectors and Matrices Chapter 1 - Kinematics of a Particle Inverse Dynamics Problem Computational Window 1.1 Computational Window 1.2 Sample Problem 1.1 Sample Problem 1.2 Sample Problem 1.6 - Method 1 Sample Problem 1.6 - Method 2 Sample Problem 1.7 Sample Problem 1.10 Sample Problem 1.11 Sample Problem 1.12 Sample Problem 1.14 Sample Problem 1.15 Sample Problem 1.17 Sample Problem 1.18 Sample Problem 1.19 Sample Problem 1.20 Sample Problem 1.22 Sample Problem 1.24 1.5 Relative Motion Sample Problem 1.25 Sample Problem 1.26 Sample Problem 1.34 Sample Problem 1.35 Chapter 2 - Kinematics of Particles Sample Problem 2.1 Sample Problem 2.3 Sample Problem 2.4 Sample Problem 2.5 Sample Problem 2.5 - Modified Sample Problem 2.6 Sample Problem 2.7 Sample Problem 2.8 Sample Problem 2.10 Sample Problem 2.12 Sample Problem 2.13 Sample Problem 2.14 Sample Problem 2.15 Sample Problem 2.17 Sample Problem 2.22 Chapter 3 - Work-Energy and Impulse Momentum - First Integrals of the Motion Impact Problems Sample Problem 3.1 - Case 1 Sample Problem 3.1 - Case 2 Sample Problem 3.1 - Case 3 Chapter 4 - Systems of Particles Sample Problem - Sample Problem 4.2 Sample Problem - Sample Problem 4.3 Chapter 5 - Equilibrium of Rigid Bodies Sample Problem 5.8 Sample Problem 5.14 Sample Problem 5.15 Sample Problem 5.16 Section 5.10 - Analysis of Plane Motion in Terms of Parameter Sample Problem 5.21 Sample Problem 5.23 Sample Problem 5.24 Sample Problem 5.25 Sample Problem 5.26 Sample Problem 5.31 Chapter 6 - Dynamics of Rigid Bodies in Plane Motion Sample Problem 6.1 Sample Problem 6.3a Sample Problem 6.3b Sample Problem 6.3c Sample Problem 6.4 Sample Problem 6.5 Sample Problem 6.6 Sample Problem 6.8 Sample Problem 6.9 Sample Problem 6.9 - Friction Neglected Sample Problem 6.11 Chapter 7 - Power, Work, Energy, Impulse and Momentum of a Rigid Body Sample Problem 7.9 Sample Problem 7.9 - Post Impact Analysis of a Vehicle A Chapter 8 - Three-Dimensional Dynamics of Rigid Bodies Sample Problem 8.2 Sample Problem 8.3 - Eulerian Angles Sample Problem 8.4 8.7 Euler's Equations of Motion Heavy Top Solution Chapter 9 - Vibration Sample Problem 9.6 Sample Problem 9.9 Sample Problem 9.10 Sample Problem 9.11 Appendix A Sample Problem A.1 Summary