Applied Dynamics

Gain a Greater Understanding of How Key Components Work Using realistic examples from everyday life, including sports (motion of balls in air or during impact) and vehicle motions, Applied Dynamics emphasizes the applications of dynamics in engineering without sacrificing the fundamentals or rigor. The text provides a detailed analysis of the principles of dynamics and vehicle motions analysis. An example included in the topic of collisions is the famous "Immaculate Reception," whose 40th anniversary was recently celebrated by the Pittsburgh Steelers. Covers Stability and Response Analysis in Depth The book addresses two- and three-dimensional Newtonian mechanics, it covers analytical mechanics, and describes Lagrange’s and Kane’s equations. It also examines stability and response analysis, and vibrations of dynamical systems. In addition, the text highlights a developing interest in the industry—the dynamics and stability of land vehicles. Contains Lots of Illustrative Examples In addition to the detailed coverage of dynamics applications, over 180 examples and nearly 600 problems richly illustrate the concepts developed in the text. Topics covered include: General kinematics and kinetics Expanded study of two- and three-dimensional motion, as well as of impact dynamics Analytical mechanics, including Lagrange’s and Kane’s equations The stability and response of dynamical systems, including vibration analysis Dynamics and stability of ground vehicles Designed for classroom instruction appealing to undergraduate and graduate students taking intermediate and advanced dynamics courses, as well as vibration study and analysis of land vehicles, Applied Dynamics can also be used as an up-to-date reference in engineering dynamics for researchers and professional engineers.

Introductory Concepts Introduction Particles, Rigid Bodies and Deformable Solids Degrees of Freedom Types of Forces and Motions Systems of Units Linearization Differential Equations and the Principle of Superposition Dimensional Analysis and Nondimensionalization Numerical Integration What Is a Vehicle? Cause and Effect Principle Bibliography Problems Kinematics Fundamentals Introduction Position, Velocity and Acceleration Reference Frames: Single Rotation in a Plane Column Vector Representation Commonly Used Coordinate Systems Moving Reference Frames Selection of Rotation Parameters Rate of Change of a Vector, Angular Velocity Angular Acceleration and Second Derivatives Relative Motion Instantaneous Center of Zero Velocity Bibliography Problems Kinematics Applications Introduction Motion with Respect to the Rotating Earth Contact Rolling Bicycle Model of a Car Kinematic Differential Equations Topspin and Backspin Mechanisms Instant Center Analysis for Linkages Bibliography Problems Kinetics Fundamentals Introduction Rigid Body Geometry Linear and Angular Momentum Resultant Force and Moment Laws of Motion Forces and Moments Acting on Bodies Force of Gravity Contact and Reaction Forces Dry Friction Forces Aerodynamic Forces Spring Forces Dampers Bibliography Problems Kinetics Applications Introduction Rolling Mechanical Trail Impulse and Momentum Work, Energy and Power Equations of Motion Solution of the Equations of Motion Linearization, Equilibrium and Stability Motion in the Vicinity of the Earth Collisions A More Accurate Model of Rigid Body Impact Bibliography Problems Response of Dynamical Systems Introduction The Unit Impulse and Unit Step Functions Homogeneous Plus Particular Solution Approach Laplace Transform Solution Response of First-Order Systems Review of Complex Variables Second-Order Systems Free Response of Undamped Second-Order Systems Free Response of Damped Second-Order Systems Underdamped Systems Damping Estimation by Logarithmic Decrement Response to an Impulsive Force Step Response Response to General Excitations ? Convolution Integral Time-Domain vs. Frequency-Domain Analysis Response to Harmonic Excitation Resonance Transmitted Force Base Excitation Harmonic Excitation Due to Imbalances and Eccentricity Bibliography Problems Response of Multi Degree of Freedom Systems Introduction Modeling of Multi Degree of Freedom Systems Coupling Free Motion of Undamped Multi Degree of Freedom Systems Solving for the Natural Frequencies and Modal Vectors Beat Phenomenon Unrestrained Motion and Rigid Body Modes Orthogonality of the Modal Vectors Expansion Theorem Modal Equations of Motion and Response Mode Participation and Isolation Approximate Approach for Damped Systems Response to Harmonic Excitation Vibration Reducing Devices First-Order Systems Numerical Integration Bibliography Problems Analytical Mechanics Introduction Generalized Coordinates and Constraints Velocity Representation Virtual Displacements and Virtual Work Virtual Displacements and Virtual Work for Rigid Bodies Generalized Forces Principle of Virtual Work for Static Equilibrium D'Alembert's Principle Hamilton's Principle Lagrange's Equations Constrained Systems Kane's Equations Natural and Nonnatural Systems, Equilibrium Small Motions around Equilibrium Rayleigh's Dissipation Function Generalized Momentum, First Integrals Impulsive Motion Bibliography Problems Three-Dimensional Kinematics of Rigid Bodies Introduction Basic Kinematics of Rigid Bodies Euler Angles Axisymmetric Bodies Rolling Orientation Change by Successive Rotations Interconnections Matrix Description of a General Transformation Euler Parameters Rodrigues Parameters Bibliography Problems Mass Moments of Inertia Introduction Center of Mass Mass Moment of Inertia Calculation of the Mass Moments and Products of Inertia Transformation Properties of the Inertia Matrix Principal Moments of Inertia Bibliography Problems Dynamics of Three-Dimensional Rigid Body Motion Introduction Linear and Angular Momentum Transformation Properties of Angular Momentum General Describing Equations Description in Terms of Body-Fixed Coordinates Angular Momentum Balance for Axisymmetric Bodies Stability Analysis of Rotational Motion Steady Precession of a Rolling Disk Rotation about a Fixed Axis Impulse and Momentum Energy and Work Analytical Equations for Rigid Bodies Torque-Free Motion of Axisymmetric Bodies Bibliography Problems Vehicle Dynamics ? Basic Loads and Longitudinal Motions Introduction Vehicle Coordinate Systems and Nomenclature Loads on Vehicles Acceleration Power More Advanced Model Including Wheel Inertia Braking Rollover and Lateral Instability Weight Shift and Statical Indeterminacy Bibliography Problems Vehicle Dynamics ? Tire and Aerodynamic Forces Introduction Tires Tire Forces Lateral Forces and Tire Slip Tire Torques Slip Ratio and Longitudinal Tire Forces Rolling Resistance Camber Other Tire Effects Summary of Tire Force Effects Nondimensional Analysis of Tire Behavior Aerodynamic Forces Bibliography Problems Vehicle Dynamics ? Lateral Stability Introduction Kinematics ? Steer Angle Definitions Wheel Loads and Slip Angles Slip Angle Kinematics Transient Motion Equations Response Eigenvalue Analysis Mass-Spring-Damper Analogy Steady-State Response Yaw Velocity Gain and Curvature Response Tangent Speed and Hydroplaning Neutral Steer Point Driver Models Electronic Stability Control Which Wheels Will Slide First? Bibliography Problems Vehicle Dynamics ? Bounce, Pitch and Roll Introduction Sources of Excitation Unsprung vs. Sprung Mass Simple Suspension Models Quarter-Car Model Pitch and Bounce Motions Olley Criteria Response to Harmonic Excitation Roll Dynamics Roll Center Analysis Lateral Force Reduction due to Weight Shift Roll Axis Introduction to Suspension Systems Suspension System Terminology and Geometry Axle Suspensions Independent Suspensions Roll Center Construction Jacking Scrub Anti-Roll Bar Force Analysis for Anti-Squat and Anti-Dive Bibliography Problems Appendix Index

Haim Baruh has over 30 years’ experience in teaching and research associated with motion analysis and its applications, such as vibrations, control general dynamics, impact mechanics, and vehicle dynamics. Author of over 40 peer-reviewed research articles, as well as the highly-regarded book, Analytical Dynamics, and director of a NASA-funded successful STEM education center, Baruh’s educational and research efforts have been supported by NASA, NSF, and the FAA. He has collaborated on research with the U.S. Army and he has served as graduate program director and associate dean in the School of Engineering at Rutgers, the State University of New Jersey.