876 Pages 643 B/W Illustrations
    by CRC Press

    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

    Biography

    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.

    "The book is a classical and detailed introduction to applied engineering dynamics and it is also a nice treatise on the analytical mechanics—holonomic and nonholonomic mechanical systems, especially kinematics and dynamics of the rigid bodies and vehicle dynamics. … useful tool for undergraduate and graduate students, professors, and researchers in the area of theoretical and applied mechanics and mechanical engineering. … a valuable addition to this field and probably will serve as a reference for a long time."
    Journal of Geometry and Symmetry in Physics, 39, 2015

    "Overall, this is an excellent book and highly recommended. The coverage of the topics is wide-ranging, which makes it suitable for both undergraduate and graduate courses on dynamics. What makes this book truly different from the rest are the applications of the dynamics principles to real-world systems, such as vibrating systems and vehicles."
    —Ilhan Tuzcu, California State University, Sacramento, USA

    "The combination of applications with theory without compromising either one is excellently done! Also, the unified and fresh approach to dynamics is excellent. …This book is like a breath of fresh air…"
    —Sorin Siegler, Drexel University, Philadelphia, Pennsylvania, USA

    "This text has a thorough coverage of both introductory and advanced topics in dynamics while focusing on topics useful for solving practical problems, including many associated with the design of ground-based vehicles."
    —James W. Kamman, Western Michigan University

    "The book presentation is very practical and the text flows nicely. Easy to read with a physically pleasing layout of text and figures. I really appreciate the appearance of the text!!!! --- after all, this is an ENGINEERING book!!!! The numerous examples are very helpful to the student."
    —Robert M. Sexton, Associate Professor, Virginia Commonwealth University