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