Most ebook files are in PDF format, so you can easily read them using various software such as Foxit Reader or directly on the Google Chrome browser.
Some ebook files are released by publishers in other formats such as .awz, .mobi, .epub, .fb2, etc. You may need to install specific software to read these formats on mobile/PC, such as Calibre.
Please read the tutorial at this link. https://ebooknice.com/page/post?id=faq
We offer FREE conversion to the popular formats you request; however, this may take some time. Therefore, right after payment, please email us, and we will try to provide the service as quickly as possible.
For some exceptional file formats or broken links (if any), please refrain from opening any disputes. Instead, email us first, and we will try to assist within a maximum of 6 hours.
EbookNice Team
Status:
Available0.0
0 reviewsISBN 10: 0521865743
ISBN 13: 978-0521865746
Author: Bruce K. Donaldson
This textbook, first published in 2006, 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. The text contains more material than is commonly taught in one semester so advanced topics are designated by an asterisk. The final two chapters can also be deferred for later studies. The text contains numerous examples and end-of-chapter exercises.
1 The Lagrange Equations of Motion
1.1 Introduction
1.2 Newton's Laws of Motion
1.3 Newton's Equations for Rotations
1.4 Simplifications for Rotations
1.5 Conservation Laws
1.6 Generalized Coordinates
1.7 Virtual Quantities and the Variational Operator
1.8 The Lagrange Equations
1.9 Kinetic Energy
1.10 Summary
Chapter 1 Exercises
Endnote (1): Further Explanation of the Variational Operator
Endnote (2): Kinetic Energy and Energy Dissipation
Endnote (3): A Rigid Body Dynamics Example Problem
2 Mechanical Vibrations: Practice Using the Lagrange Equations
2.1 Introduction
2.2 Techniques of Analysis for Pendulum Systems
2.3 Example Problems
2.4 Interpreting Solutions to Pendulum Equations
2.5 Linearizing Differential Equations for Small Deflections
2.6 Summary
2.7 **Conservation of Energy versus the Lagrange Equations**
2.8 **Nasty Equations of Motion**
2.9 **Stability of Vibratory Systems**
Chapter 2 Exercises
Endnote (1): The Large-Deflection, Simple Pendulum Solution
Endnote (2): Divergence and Flutter in Multidegree of Freedom, Force Free Systems
3 Review of the Basics of the Finite Element Method for Simple Elements
3.1 Introduction
3.2 Generalized Coordinates for Deformable Bodies
3.3 Element and Global Stiffness Matrices
3.4 More Beam Element Stiffness Matrices
3.5 Summary
Chapter 3 Exercises
Endnote (1): A Simple Two-Dimensional Finite Element
Endnote (2): The Curved Beam Finite Element
4 FEM Equations of Motion for Elastic Systems
4.1 Introduction
4.2 Structural Dynamic Modeling
4.3 Isolating Dynamic from Static Loads
4.4 Finite Element Equations of Motion for Structures
4.5 Finite Element Example Problems
4.6 Summary
4.7 **Offset Elastic Elements**
Chapter 4 Exercises
Endnote (1): Mass Refinement Natural Frequency Results
Endnote (2): The Rayleigh Quotient
Endnote (3): The Matrix Form of the Lagrange Equations
Endnote (4): The Consistent Mass Matrix
Endnote (5): A Beam Cross Section with Equal Bending and Twisting Stiffness Coefficients
5 Damped Structural Systems
5.1 Introduction
5.2 Descriptions of Damping Forces
5.3 The Response of a Viscously Damped Oscillator to a Harmonic Loading
5.4 Equivalent Viscous Damping
5.5 Measuring Damping
5.6 Example Problems
5.7 Harmonic Excitation of Multidegree of Freedom Systems
5.8 Summary
Chapter 5 Exercises
Endnote (1): A Real Function Solution to a Harmonic Input
6 Natural Frequencies and Mode Shapes
6.1 Introduction
6.2 Natural Frequencies by the Determinant Method
6.3 Mode Shapes by Use of the Determinant Method
6.4 **Repeated Natural Frequencies**
6.5 Orthogonality and the Expansion Theorem
6.6 The Matrix Iteration Method
6.7 **Higher Modes by Matrix Iteration**
6.8 Other Eigenvalue Problem Procedures
6.9 Summary
6.10 **Modal Tuning**
Chapter 6 Exercises
Endnote (1): Linearly Independent Quantities
Endnote (2): The Cholesky Decomposition
Endnote (3): Constant Momentum Transformations
Endnote (4): Illustration of Jacobi's Method
Endnote (5): The Gram-Schmidt Process for Creating Orthogonal Vectors
7 The Modal Transformation
7.1 Introduction
7.2 Initial Conditions
7.3 The Modal Transformation
7.4 Harmonic Loading Revisited
7.5 Impulsive and Sudden Loadings
7.6 The Modal Solution for a General Type of Loading
7.7 Example Problems
7.8 Random Vibration Analyses
7.9 Selecting Mode Shapes and Solution Convergence
7.10 Summary
7.11 **Aeroelasticity**
7.12 **Response Spectrums**
Chapter 7 Exercises
Endnote (1): Verification of the Duhamel Integral Solution
Endnote (2): A Rayleigh Analysis Example
Endnote (3): An Example of the Accuracy of Basic Strip Theory
Endnote (4): Nonlinear Vibrations
8 Continuous Dynamic Models
8.1 Introduction
8.2 Derivation of the Beam Bending Equation
8.3 Modal Frequencies and Mode Shapes for Continuous Models
8.4 Conclusion
Chapter 8 Exercises
Endnote (1): The Long Beam and Thin Plate Differential Equations
Endnote (2): Derivation of the Beam Equation of Motion Using Hamilton's Principle
Endnote (3): Sturm-Liouville Problems
Endnote (4): The Bessel Equation and Its Solutions
Endnote (5): Nonhomogeneous Boundary Conditions
9 Numerical Integration of the Equations of Motion
9.1 Introduction
9.2 The Finite Difference Method
9.3 Assumed Acceleration Techniques
9.4 Predictor-Corrector Methods
9.5 The Runge-Kutta Method
9.6 Summary
9.7 **Matrix Function Solutions**
Chapter 9 Exercises
Appendix I. Answers to Exercises
Chapter 1 Solutions
Chapter 2 Solutions
Chapter 3 Solutions
Chapter 4 Solutions
Chapter 5 Solutions
Chapter 6 Solutions
Chapter 7 Solutions
Chapter 8 Solutions
Chapter 9 Solutions
Appendix II. Fourier Transform Pairs
II.1 Introduction to Fourier Transforms
Index
introduction to structural dynamics
introduction to structural design
introduction to structural biology
introduction to structural analysis pdf
introduction to structural analysis
Tags: Bruce Donaldson, Structural Dynamics
4.6
12 reviews
4.7
9 reviews
5.0
28 reviews
4.7
28 reviews
4.3
38 reviews