Analytical dynamics

by Baruh, Haim

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Title Statements

Full title :Analytical dynamics / Haim Baruh.

Summary

This book presents a fair and balanced description of dynamics problems and formulations. From the classical methods to the newer techniques used in today's complex and multibody environments, this text shows how those approaches complement each other. The text begins by introducing the reader to the basic concepts in mechanics. These concepts are introduced at the particle mechanics level. The text then extends these concepts to systems of particles, rigid bodies (plane motion and 3D), and lightly flexible bodies. The cornerstone variational principles of mechanics are developed and they are applied to particles, rigid bodies, and deformable bodies. The text emphasizes both the derivation of the describing equations and the response. The describing equations are developed using force and moment balances, as well as variational principles. Different approaches of obtaining equations of motion are discussed and compared. The response is analyzed qualitatively and quantitatively.

Edition Statements

Publication Date:©1999.

Publication Statements

Publisher(s):WCB/McGraw-Hill
Place of Publication:Boston, MA
Language:eng
Publication Date:©1999.

The Physical Object

Description:xvii, 718 p. : : ill. ; : 24 cm

Edition Identifiers

ISBN:0073659770, 9780073659770, 0071160949, 9780071160940
oclc:ocn880952119
LC Classification:QA845
Dewey Decimal:531/.11

Chapter 1 : Basic principles -- 1.1 Introduction -- 1.2 Systems of units -- 1.3 Review of vector analysis -- 1.3.1 Rectilinear (cartesian) coordinates -- 1.3.2 Curvilinear coordinates -- 1.4 Newtonian particle mechanics -- 1.5 Degrees of freedom and constraints -- 1.6 Impulse and momentum -- 1.7 Work and energy -- 1.7.1 Gravitational potential energy -- 1.7.2 Potential energy of springs -- 1.7.3 Elastic strain energy -- 1.7.4 Work-energy relations -- 1.8 Equilibrium and stability -- 1.9 Free response of linear systems -- 1.10 Response to harmonic excitation -- 1.11 Forced response of linear systems -- 1.12 First integrals -- 1.13 Numerical integration of equations of motion -- Chapter 2 : Relative motion -- 2.1 Introduction -- 2.2 Moving coordinate frames -- 2.3 Representation of vectors -- 2.4 Transformation of coordinates, finite rotations -- 2.5 Infinitesimal rotations, angular velocity -- 2.6 Rate of change of a vector, angular acceleration -- 2.7 Relative velocity and acceleration -- 2.8 Observations from a moving frame -- Chapter 3 : Dynamics of a system of particles -- 3.1 Introduction -- 3.2 Equations of motion -- 3.3 Linear and angular momentum -- 3.4 Work and energy -- 3…