Introduction to Structural Dynamics

Name: Introduction to Structural Dynamics
Price: 98.87 USD
Availability: InStock
ISBN: 9780521865746

ISBN-10: 0521865743

ISBN-13: 9780521865746

Edition: 2006

Authors: Bruce K. Donaldson, Michael J. Rycroft, Wei Shyy

List price: $114.00

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Description:

This textbook provides the student of aerospace, civil, and mechanical engineering with all the fundamentals of linear structural dynamics analysis. It is designed for an advanced undergraduate or first year graduate course. This textbook is a departure from the usual presentation in two important respects. First, descriptions of system dynamics are based on the simpler to use Lagrange equations. Second, no organizational distinctions are made between multi-degree of freedom systems and single-degree of freedom systems. The textbook is organized on the basis of first writing structural equation systems of motion, and then solving those equations mostly by means of a modal transformation.…

Book details

List price: $114.00
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 10/23/2006
Binding: Hardcover
Pages: 566
Size: 7.01" wide x 10.00" long x 1.26" tall
Weight: 2.486
Language: English

Martin J. Wiener is the Mary Jones Professor of History at Rice University. His previous books include Between Two Worlds: The Political Thought of Graham Wallas (1971), English Culture and the Decline of the Industrial Spirit (1980), and Reconstructing the Criminal (1990).



Preface for the Student


Preface for the Instructor


Acknowledgments


List of Symbols



The Lagrange Equations of Motion



Introduction



Newton's Laws of Motion



Newton's Equations for Rotations



Simplifications for Rotations



Conservation Laws



Generalized Coordinates



Virtual Quantities and the Variational Operator



The Lagrange Equations



Kinetic Energy



Summary



Exercises



Further Explanation of the Variational Operator



Kinetic Energy and Energy Dissipation



A Rigid Body Dynamics Example Problem



Mechanical Vibrations: Practice Using the Lagrange Equations



Introduction



Techniques of Analysis for Pendulum Systems



Example Problems



Interpreting Solutions to Pendulum Equations



Linearizing Differential Equations for Small Deflections



Summary



Conservation of Energy versus the Lagrange Equations



Nasty Equations of Motion



Stability of Vibratory Systems



Exercises



The Large-Deflection, Simple Pendulum Solution



Divergence and Flutter in Multidegree of Freedom, Force Free Systems



Review of the Basics of the Finite Element Method for Simple Elements



Introduction



Generalized Coordinates for Deformable Bodies



Element and Global Stiffness Matrices



More Beam Element Stiffness Matrices



Summary



Exercises



A Simple Two-Dimensional Finite Element



The Curved Beam Finite Element



FEM Equations of Motion for Elastic Systems



Introduction



Structural Dynamic Modeling



Isolating Dynamic from Static Loads



Finite Element Equations of Motion for Structures



Finite Element Example Problems



Summary



Offset Elastic Elements



Exercises



Mass Refinement Natural Frequency Results



The Rayleigh Quotient



The Matrix Form of the Lagrange Equations



The Consistent Mass Matrix



A Beam Cross Section with Equal Bending and Twisting Stiffness Coefficients



Damped Structural Systems



Introduction



Descriptions of Damping Forces



The Response of a Viscously Damped Oscillator to a Harmonic Loading



Equivalent Viscous Damping



Measuring Damping



Example Problems



Harmonic Excitation of Multidegree of Freedom Systems



Summary



Exercises



A Real Function Solution to a Harmonic Input



Natural Frequencies and Mode Shapes



Introduction



Natural Frequencies by the Determinant Method



Mode Shapes by Use of the Determinant Method



Repeated Natural Frequencies



Orthogonality and the Expansion Theorem



The Matrix Iteration Method



Higher Modes by Matrix Iteration



Other Eigenvalue Problem Procedures



Summary



Modal Tuning



Exercises



Linearly Independent Quantities



The Cholesky Decomposition



Constant Momentum Transformations



Illustration of Jacobi's Method



The Gram-Schmidt Process for Creating Orthogonal Vectors



The Modal Transformation



Introduction



Initial Conditions



The Modal Transformation



Harmonic Loading Revisited



Impulsive and Sudden Loadings



The Modal Solution for a General Type of Loading



Example Problems



Random Vibration Analyses



Selecting Mode Shapes and Solution Convergence



Summary



Aeroelasticity



Response Spectrums



Exercises



Verification of the Duhamel Integral Solution



A Rayleigh Analysis Example



An Example of the Accuracy of Basic Strip Theory



Nonlinear Vibrations



Continuous Dynamic Models



Introduction



Derivation of the Beam Bending Equation



Modal Frequencies and Mode Shapes for Continuous Models



Conclusion



Exercises



The Long Beam and Thin Plate Differential Equations



Derivation of the Beam Equation of Motion Using Hamilton's Principle



Sturm-Liouvilie Problems



The Bessel Equation and Its Solutions



Nonhomogeneous Boundary Conditions



Numerical Integration of the Equations of Motion



Introduction



The Finite Difference Method



Assumed Acceleration Techniques



Predictor-Corrector Methods



The Runge-Kutta Method



Summary



Matrix Function Solutions



Exercises



Answers to Exercises



Solutions



Solutions



Solutions



Solutions



Solutions



Solutions



Solutions



Solutions



Solutions



Fourier Transform Pairs



Introduction to Fourier Transforms


Index