Static and Dynamic Analysis of Engineering Structures : Incorporating the Boundary Element Method.

Cover -- Title Page -- Copyright -- Contents -- About the Authors -- Preface -- Introduction -- 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 -- 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 -- 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 -- Appendix A Certificate of Essential Building Data [281] -- Appendix B Contact Stresses on the Sole of the Circular Die and the Sole of the Plane Die -- B.1 Contact Stresses on the Sole of the Circular Die. -- B.2 Contact Stresses on the Sole of the Plane Die. -- References -- Index -- EULA.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.