Mechanical Wave Vibrations Analysis and Control 1st Edition by Chunhui Mei ISBN 9781119135050 1119135052
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ISBN 10: 1119135052
ISBN 13: 9781119135050
Author: Chunhui Mei
An elegant and accessible exploration of the fundamentals of the analysis and control of vibration in structures from a wave standpoint
In Mechanical Wave Vibrations: Analysis and Control, Professor Chunhui Mei delivers an expert discussion of the wave analysis approach (as opposed to the modal-based approach) to mechanical vibrations in structures. The book begins with deriving the equations of motion using the Newtonian approach based on various sign conventions before comprehensively covering the wave vibration analysis approach. It concludes by exploring passive and active feedback control of mechanical vibration waves in structures.
The author discusses vibration analysis and control strategies from a wave standpoint and examines the applications of the presented wave vibration techniques to structures of various complexity. Readers will find in the book:
- A thorough introduction to mechanical wave vibration analysis, including the governing equations of various types of vibrations
- Comprehensive explorations of waves in simple rods and beams, including advanced vibration theories
- Practical discussions of coupled waves in composite and curved beams
- Extensive coverage of wave mode conversions in built-up planar and spatial frames and networks
- Complete treatments of passive and active feedback wave vibration control
- MATLAB® scripts both in the book and in a companion solutions manual for instructors
Mechanical Wave Vibrations: Analysis and Control is written as a textbook for both under-graduate and graduate students studying mechanical, aerospace, automotive, and civil engineering. It will also benefit researchers and educators working in the areas of vibrations and waves.
Mechanical Wave Vibrations Analysis and Control 1st Edition Table of contents:
1 Sign Conventions and Equations of Motion Derivations
1.1 Derivation of the Bending Equations of Motion by Various Sign Conventions
1.1.1 According to Euler–Bernoulli Bending Vibration Theory
1.1.2 According to Timoshenko Bending Vibration Theory
1.2 Derivation of the Elementary Longitudinal Equation of Motion by Various Sign Conventions
1.3 Derivation of the Elementary Torsional Equation of Motion by Various Sign Conventions
2 Longitudinal Waves in Beams
2.1 The Governing Equation and the Propagation Relationships
2.2 Wave Reflection at Classical and Non-Classical Boundaries
2.3 Free Vibration Analysis in Finite Beams – Natural Frequencies and Modeshapes
2.4 Force Generated Waves and Forced Vibration Analysis of Finite Beams
2.5 Numerical Examples and Experimental Studies
2.6 MATLAB Scripts
3 Bending Waves in Beams
3.1 The Governing Equation and the Propagation Relationships
3.2 Wave Reflection at Classical and Non-Classical Boundaries
3.3 Free Vibration Analysis in Finite Beams – Natural Frequencies and Modeshapes
3.4 Force Generated Waves and Forced Vibration Analysis of Finite Beams
3.5 Numerical Examples and Experimental Studies
3.6 MATLAB Scripts
4 Waves in Beams on a Winkler Elastic Foundation
4.1 Longitudinal Waves in Beams
4.1.1 The Governing Equation and the Propagation Relationships
4.1.2 Wave Reflection at Boundaries
4.1.3 Free Wave Vibration Analysis
4.1.4 Force Generated Waves and Forced Vibration Analysis of Finite Beams
4.1.5 Numerical Examples
4.2 Bending Waves in Beams
4.2.1 The Governing Equation and the Propagation Relationships
4.2.2 Wave Reflection at Classical Boundaries
4.2.3 Free Wave Vibration Analysis
4.2.4 Force Generated Waves and Forced Wave Vibration Analysis
4.2.5 Numerical Examples
5 Coupled Waves in Composite Beams
5.1 The Governing Equations and the Propagation Relationships
5.2 Wave Reflection at Classical and Non-Classical Boundaries
5.3 Wave Reflection and Transmission at a Point Attachment
5.4 Free Vibration Analysis in Finite Beams – Natural Frequencies and Modeshapes
5.5 Force Generated Waves and Forced Vibration Analysis of Finite Beams
5.6 Numerical Examples
5.7 MATLAB Script
6 Coupled Waves in Curved Beams
6.1 The Governing Equations and the Propagation Relationships
6.2 Wave Reflection at Classical and Non-Classical Boundaries
6.3 Free Vibration Analysis in a Finite Curved Beam – Natural Frequencies and Modeshapes
6.4 Force Generated Waves and Forced Vibration Analysis of Finite Curved Beams
6.5 Numerical Examples
6.6 MATLAB Scripts
7 Flexural/Bending Vibration of Rectangular Isotropic Thin Plates with Two Opposite Edges Simply-supported
7.1 The Governing Equations of Motion
7.2 Closed-form Solutions
7.3 Wave Reflection, Propagation, and Wave Vibration Analysis along the Simply-supported x Direction
7.4 Wave Reflection, Propagation, and Wave Vibration Analysis Along the y Direction
7.4.1 Wave Reflection at a Classical Boundary along the y Direction
7.4.2 Wave Propagation and Wave Vibration Analysis along the y Direction
7.5 Numerical Examples
8 In-Plane Vibration of Rectangular Isotropic Thin Plates with Two Opposite Edges Simply-supported
8.1 The Governing Equations of Motion
8.2 Closed-form Solutions
8.3 Wave Reflection, Propagation, and Wave Vibration Analysis along the Simply-supported x Direction
8.3.1 Wave Reflection at a Simply-supported Boundary along the x Direction
8.3.2 Wave Propagation and Wave Vibration Analysis along the x Direction
8.4 Wave Reflection, Propagation, and Wave Vibration Analysis along the y Direction
8.4.1 Wave Reflection at a Classical Boundary along the y Direction
8.4.2 Wave Propagation and Wave Vibration Analysis along the y Direction
8.5 Special Situation of k0 = 0: Wave Reflection, Propagation, and Wave Vibration Analysis along the y Direction
8.5.1 Wave Reflection at a Classical Boundary along the y Direction Corresponding to a Pair of Type I Simple Supports along the x Direction When k0 = 0
8.5.2 Wave Reflection at a Classical Boundary along the y Direction Corresponding to a Pair of Type II Simple Supports along the x Direction When k0 = 0
8.5.3 Wave Propagation and Wave Vibration Analysis along the y Direction When k0 = 0
8.6 Wave Reflection, Propagation, and Wave Vibration Analysis with a Pair of Simply-supported Boundaries along the y Direction When k0 ≠ 0
8.6.1 Wave Reflection, Propagation, and Wave Vibration Analysis with a Pair of Simply-supported Boundaries along the y Direction When k0 ≠ 0, k1 ≠ 0, and k2 ≠ 0
8.6.2 Wave Reflection, Propagation, and Wave Vibration Analysis with a Pair of Simply-supported Boundaries along the y Direction When k0 = 0, and either k1 = 0 or k2 = 0
8.7 Numerical Examples
8.7.1 Example 1: Two Pairs of the Same Type of Simple Supports along the x and y Directions
8.7.2 Example 2: One Pair of the Same Type Simple Supports along the x Direction, Various Combinations of Classical Boundaries on Opposite Edges along the y Direction
8.7.3 Example 3: One Pair of Mixed Type Simple Supports along the x Direction, Various Combinations of Classical Boundaries on Opposite Edges along the y Direction
9 Bending Waves in Beams Based on Advanced Vibration Theories
9.1 The Governing Equations and the Propagation Relationships
9.1.1 Rayleigh Bending Vibration Theory
9.1.2 Shear Bending Vibration Theory
9.1.3 Timoshenko Bending Vibration Theory
9.2 Wave Reflection at Classical and Non-Classical Boundaries
9.2.1 Rayleigh Bending Vibration Theory
9.2.2 Shear and Timoshenko Bending Vibration Theories
9.3 Waves Generated by Externally Applied Point Force and Moment on the Span
9.3.1 Rayleigh Bending Vibration Theory
9.3.2 Shear and Timoshenko Bending Vibration Theories
9.4 Waves Generated by Externally Applied Point Force and Moment at a Free End
9.4.1 Rayleigh Bending Vibration Theory
9.4.2 Shear and Timoshenko Bending Vibration Theories
9.5 Free and Forced Vibration Analysis
9.5.1 Free Vibration Analysis
9.5.2 Forced Vibration Analysis
9.6 Numerical Examples and Experimental Studies
9.7 MATLAB Scripts
10 Longitudinal Waves in Beams Based on Various Vibration Theories
10.1 The Governing Equations and the Propagation Relationships
10.1.1 Love Longitudinal Vibration Theory
10.1.2 Mindlin–Herrmann Longitudinal Vibration Theory
10.1.3 Three-mode Longitudinal Vibration Theory
10.2 Wave Reflection at Classical Boundaries
10.2.1 Love Longitudinal Vibration Theory
10.2.2 Mindlin–Herrmann Longitudinal Vibration Theory
10.2.3 Three-mode Longitudinal Vibration Theory
10.3 Waves Generated by External Excitations on the Span
10.3.1 Love Longitudinal Vibration Theory
10.3.2 Mindlin–Herrmann Longitudinal Vibration Theory
10.3.3 Three-mode Longitudinal Vibration Theory
10.4 Waves Generated by External Excitations at a Free End
10.4.1 Love Longitudinal Vibration Theory
10.4.2 Mindlin–Herrmann Longitudinal Vibration Theory
10.4.3 Three-mode Longitudinal Vibration Theory
10.5 Free and Forced Vibration Analysis
10.5.1 Free Vibration Analysis
10.5.2 Forced Vibration Analysis
10.6 Numerical Examples and Experimental Studies
11 Bending and Longitudinal Waves in Built-up Planar Frames
11.1 The Governing Equations and the Propagation Relationships
11.2 Wave Reflection at Classical Boundaries
11.3 Force Generated Waves
11.4 Free and Forced Vibration Analysis of a Multi-story Multi-bay Planar Frame
11.5 Reflection and Transmission of Waves in a Multi-story Multi-bay Planar Frame
11.5.1 Wave Reflection and Transmission at an L-shaped Joint
11.5.2 Wave Reflection and Transmission at a T-shaped Joint
11.5.3 Wave Reflection and Transmission at a Cross Joint
12 Bending, Longitudinal, and Torsional Waves in Built-up Space Frames
12.1 The Governing Equations and the Propagation Relationships
12.2 Wave Reflection at Classical Boundaries
12.3 Force Generated Waves
12.4 Free and Forced Vibration Analysis of a Multi-story Space Frame
12.5 Reflection and Transmission of Waves in a Multi-story Space Frame
12.5.1 Wave Reflection and Transmission at a Y-shaped Spatial Joint
12.5.2 Wave Reflection and Transmission at a K-shaped Spatial Joint
13 Passive Wave Vibration Control
13.1 Change in Cross Section or Material
13.1.1 Wave Reflection and Transmission at a Step Change by Euler–Bernoulli Bending Vibration Theory
13.1.2 Wave Reflection and Transmission at a Step Change by Timoshenko Bending Vibration Theory
13.2 Point Attachment
13.2.1 Wave Reflection and Transmission at a Point Attachment by Euler–Bernoulli Bending Vibration Theory
13.2.2 Wave Reflection and Transmission at a Point Attachment by Timoshenko Bending Vibration Theory
13.3 Beam with a Single Degree of Freedom Attachment
13.4 Beam with a Two Degrees of Freedom Attachment
13.5 Vibration Analysis of a Beam with Intermediate Discontinuities
13.6 Numerical Examples
13.7 MATLAB Scripts
14 Active Wave Vibration Control
14.1 Wave Control of Longitudinal Vibrations
14.1.1 Feedback Longitudinal Wave Control on the Span
14.1.2 Feedback Longitudinal Wave Control at a Free Boundary
14.2 Wave Control of Bending Vibrations
14.2.1 Feedback Bending Wave Control on the Span
14.2.2 Feedback Bending Wave Control at a Free Boundary
14.3 Numerical Examples
14.4 MATLAB Scripts
Index
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