(Ebook PDF) Static and Dynamic Analysis of Engineering Structures Incorporating the Boundary Element Method 1st edition by Levon Petrosian, Vladimir Ambartsumian 1119592933 9781119592938 full chapters

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ISBN-10 :  1119592933

ISBN-13 :  9781119592938

Author : Levon G. Petrosian, Vladimir A. Ambartsumian  

An authoritative guide to the theory and practice of static and dynamic structures analysis Static and Dynamic Analysis of Engineering Structures examines static and dynamic analysis of engineering structures for methodological and practical purposes. In one volume, the authors – noted engineering experts – provide an overview of the topic and review the applications of modern as well as classic methods of calculation of various structure mechanics problems. They clearly show the analytical and mechanical relationships between classical and modern methods of solving boundary value problems. The first chapter offers solutions to problems using traditional techniques followed by the introduction of the boundary element methods. The book discusses various discrete and continuous systems of analysis. In addition, it offers solutions for more complex systems, such as elastic waves in inhomogeneous media, frequency-dependent damping and membranes of arbitrary shape, among others. Static and Dynamic Analysis of Engineering Structures is filled with illustrative examples to aid in comprehension of the presented material. The book: Illustrates the modern methods of static and dynamic analysis of structures; Provides methods for solving boundary value problems of structural mechanics and soil mechanics; Offers a wide spectrum of applications of modern techniques and methods of calculation of static, dynamic and seismic problems of engineering design; Presents a new foundation model. Written for researchers, design engineers and specialists in the field of structural mechanics, Static and Dynamic Analysis of Engineering Structures provides a guide to analyzing static and dynamic structures, using traditional and advanced approaches with real-world, practical examples.

Static and Dynamic Analysis of Engineering Structures: Incorporating the Boundary Element Method 1st Table of contents:

Chapter 1: Methods of Dynamic Design of Structural Elements
1.1 The Method of Separation Variables
1.2 The Variational Methods
1.3 Integral Equations and Integral Transforms Methods
1.4 The Finite Element Method
1.5 The Finite Difference Method
1.6 The Generalized Method of Integral Transformation
1.7 The Method of Delta-Transform
1.8 The Generalized Functions in Structural Mechanics
1.9 General Approaches to Constructing Boundary Equations, and Standardized Form of Boundary Value Problems
1.10 The Relationship of Green’s Function with Homogeneous Solutions of the Method of Initial Parameters
1.11 The Spectral Method of Boundary Elements
1.12 The Compensate Loads Method
Chapter 2: Boundary Elements Methods (BEM) in the Multidimensional Problems
2.1 The Integral Equations of Boundary Elements Methods
2.2 The Construction of Boundary Equations by the Delta-Transformation Technique
2.3 The Equivalence of Direct and Indirect BEM
2.4 The Spectral Method of Boundary Elements (SMBE) in Multidimensional Problems
2.5 The Problems Described by the Integro-Differential System of Equations
Note
Chapter 3: Oscillation of Bars and Arches
3.1 The Nonlinear Oscillations of Systems with One Degree of Freedom
3.2 The Nonlinear Oscillations of Systems with Multiple-Degrees-of-Freedom
3.3 The Nonlinear Oscillations of Systems with Distributed Mass
3.4 The Oscillations of the Beam of the Variable Cross-sections
3.5 The Optimum Design of the Bar
3.6 The Oscillations of Flexural-Shifted (Bending-Shifted) Bars Under the Seismic Impacts
3.7 Oscillations of Circular Rings and Arches
3.8 The Free Oscillations of System “Flexible Arch-Rigid Beam”
3.9 The Results of Dynamic Testing Model of Combined System Rigid-beam and Flexible Arch
3.10 The Oscillations of the Combined System Taking into Account its Extent at a Given Harmonic Motion Base
3.11 The Determination of the Reactions of Multiple Spans Frame Bridges, Extended Buildings, and Structures Taking into Account the Initial Phase of Passing (Propagation) of the Seismic Wave
Chapter 4: Oscillation of Plates and Shells
4.1 The Design of the Cantilever Plate of Minimal Mass Working on the Shift with the Assigned Fundamental Frequency
4.2 The Experimental and Theoretical Research of Oscillation of a Cantilever Plate with Rectangular Openings
4.3 The Oscillations (Vibrations) of Spherical Shells
4.4 The Application of the Spectral Method of Boundary Element (SMBE) to the Oscillation of the Plates on Elastic Foundation
Chapter 5: The Propagation of Elastic Waves and Their Interaction with the Engineering Structures
5.1 The Propagation of Seismic Waves in the Laminar Inhomogeneous Medium
5.2 Diffraction of Horizontal Waves on the Semi-cylindrical Base of Structure
5.3 Method of Calculation of the Lining of Tunnels to Seismic Resistance
5.4 A Study of the Action of Seismic Wave on the Rigid Ring Located in the Half-plane
5.5 Calculations of Underground Structures with Arbitrary Cross-section under Seismic Action Impact
Note
Chapter 6: The Special Features of the Solution of Dynamic Problems by the Boundary Element Methods (BEM)
6.1 One Method of Calculation: The Hilbert Transform and its Applications to the Analysis of Dynamic System
6.2 Construction of Green’s Function for Bases Having Frequency-Dependent Internal Friction
6.3 The Green’s Functions of Systems with the Frequency-Independent Internal Friction
6.4 The Numerical Realization of Boundary Element Method (BEM)
6.5 The Construction of the Green’s Function of the Dynamic Stationary Problem for the Elasto-Viscous Half-Plane
Chapter 7: The Questions of the Static and Dynamic Analysis of Structures on an Elastic Foundation
7.1 The Kernel of the Generalized Model of Elastic Foundation (Base)
7.2 The Determination of the Characteristics of the Generalized (Unified, Integrated) Model of the Elastic Foundation (Base)
7.3 Contact Problem for the Rigid Die, Lying on the Generalized Elastic Base
7.4 On One Method of Calculation of Structures on an Elastic Foundation
7.5 The Calculation of the (Non-isolated) Beams and Plates, Lying on an Elastic Foundation, Described by the Generalized Model
7.6 The Forced Oscillations of a Rectangular Plate on an Elastic Foundation
7.7 The Calculation of the Membrane of Arbitrary Shape on an Elastic Foundation

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