Vibration of discrete and continuous systems. (2019)

• Record Type: Book
• Further Information: Note: Ahmed Shabana.
• Authors: Shabana, Ahmed A, 1951-
• Contents: Intro; Preface; Contents of the Book; Acknowledgment; Contents; 1: Introduction; 1.1 Kinematics of Rigid Bodies; Example 1.1; Example 1.2; 1.2 Dynamic Equations; Example 1.3; 1.3 Single Degree of Freedom Systems; Example 1.4; 1.4 Oscillatory and Nonoscillatory Motion; Example 1.5; Example 1.6; Example 1.7; Example 1.8; 1.5 Other Types of Damping; 1.6 Forced Vibration; Example 1.9; 1.7 Impulse Response; Example 1.10; 1.8 Response to an Arbitrary Forcing Function; Example 1.11; 1.9 Linear Theory of Vibration; 2: Lagrangian Dynamics; 2.1 Generalized Coordinates; Example 2.1 2.2 Virtual Work and Generalized ForcesExample 2.2; Example 2.3; Example 2.4; 2.3 Lagrangeś Equation; Example 2.5; Example 2.6; Example 2.7; 2.4 Generalized Inertia Forces; 2.5 Kinetic Energy; Example 2.8; 2.6 Strain Energy; Example 2.9; 2.7 Hamiltonś Principle; Example 2.10; Example 2.11; 2.8 Conservation Theorems; Example 2.12; Example 2.13; 2.9 Virtual Work and DÁlembertś Principle; 2.10 Vibration of Complex Nonlinear Systems; 3: Multi-degree of Freedom Systems; 3.1 Equations of Motion; Example 3.1; 3.2 Undamped Free Vibration; Example 3.2; 3.3 Orthogonality of the Mode Shapes Example 3.3Example 3.4; 3.4 Rigid-Body Modes; Example 3.5; 3.5 Conservation of Energy; 3.6 Forced Vibration of the Undamped Systems; Example 3.6; 3.7 Viscously Damped Systems; 3.8 General Viscous Damping; 3.9 Approximation and Numerical Methods; Example 3.7; 3.10 Matrix-Iteration Methods; Example 3.8; Example 3.9; Example 3.10; 3.11 Method of Transfer Matrices; Example 3.11; Example 3.12; 3.12 Nonlinear Systems and Modal Decomposition; 4: Vibration of Continuous Systems; 4.1 Free Longitudinal Vibrations; Example 4.1; Example 4.2; 4.2 Free Torsional Vibrations; Example 4.3; Example 4.4 4.3 Free Transverse Vibrations of BeamsExample 4.5; Example 4.6; 4.4 Orthogonality of the Eigenfunctions; Example 4.7; Example 4.8; 4.5 Forced Vibrations; Example 4.9; Example 4.10; 4.6 Inhomogeneous Boundary Conditions; Example 4.11; 4.7 Viscoelastic Materials; 4.8 Energy Methods; 4.9 Approximation Methods; Example 4.12; 4.10 Galerkinś Method; Example 4.13; 4.11 Assumed-Modes Method; Example 4.14; 5: The Finite Element Method; 5.1 Assumed Displacement Field; 5.2 Comments on the Element Shape Functions; 5.3 Connectivity Between Elements; Example 5.1; 5.4 Formulation of the Mass Matrix Example 5.2Example 5.3; 5.5 Formulation of the Stiffness Matrix; Example 5.4; Example 5.5; 5.6 Equations of Motion; Example 5.6; 5.7 Convergence of the FE Solution; 5.8 Higher-Order Elements; 5.9 Spatial Elements; 5.10 Large Rotations and Deformations; 5.11 Sub-structuring Techniques; 6: Methods for the Eigenvalue Analysis; 6.1 Similarity Transformation; Example 6.1; 6.2 Polynomial Matrices; Example 6.2; Example 6.3; Example 6.4; 6.3 Equivalence of the Characteristic Matrices; Example 6.5; 6.4 Jordan Matrices; Example 6.6; 6.5 Elementary Divisors; Example 6.7; Example 6.8
• Edition: Third edition
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource (xiii, 409 pages), illustrations (some color)
• Subjects: 531/.32; Vibration; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030043483; 3030043487
• Related ISBNs: 9783030043476
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed October 10, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.