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Generalized point models in structural mechanics 1st Edition by Ivan V Andronov ISBN 9812777903 9789812777904

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Generalized point models in structural mechanics 1st Edition Ivan V. Andronov Digital Instant Download

Author(s): Ivan V. Andronov
ISBN(s): 9789812777904, 9812777903
Edition: 1st
File Details: PDF, 1.48 MB
Year: 2002
Language: english
SKU: EB-876950 Category: Tag:

Generalized point models in structural mechanics 1st Edition by Ivan V Andronov – Ebook PDF Instant Download/Delivery: 9812777903, 9789812777904
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Product details:

ISBN 10: 9812777903 
ISBN 13: 9789812777904
Author: Ivan V Andronov

This book presents the idea of zero-range potentials and shows the limitations of the point models used in structural mechanics. It also offers specific examples from the theory of generalized functions, regularization of super-singular integral equations and other specifics of the boundary value problems for partial differential operators of the fourth order.

Generalized point models in structural mechanics 1st Table of contents:

Chapter 1: Introduction to Structural Mechanics and Point Models

  • 1.1 Overview of Structural Mechanics

  • 1.2 Motivation for Point Models

  • 1.3 Historical Development of Generalized Point Models

  • 1.4 Applications in Engineering

Chapter 2: Fundamentals of Continuum Mechanics and Discretization

  • 2.1 Basics of Continuum Mechanics

  • 2.2 Discretization Techniques

  • 2.3 Transition from Continua to Point Models

  • 2.4 Mathematical Foundations

Chapter 3: Classical Point Models in Structural Analysis

  • 3.1 Rigid Body Models

  • 3.2 Concentrated Mass and Stiffness Models

  • 3.3 Lumped Parameter Models

  • 3.4 Limitations of Classical Models

Chapter 4: Generalized Point Models: Theory and Formulation

  • 4.1 Concept of Generalized Points

  • 4.2 Mathematical Representation

  • 4.3 Model Reduction Techniques

  • 4.4 Coupling with Continuum Models

Chapter 5: Dynamic Analysis Using Generalized Point Models

  • 5.1 Equations of Motion

  • 5.2 Modal Analysis and Vibration Characteristics

  • 5.3 Damping Models

  • 5.4 Response to Dynamic Loads

Chapter 6: Applications to Structural Systems

  • 6.1 Frame Structures

  • 6.2 Beams and Plates

  • 6.3 Composite and Layered Structures

  • 6.4 Multi-Scale Modeling Approaches

Chapter 7: Numerical Methods and Implementation

  • 7.1 Finite Element Method and Point Models

  • 7.2 Computational Algorithms

  • 7.3 Software and Simulation Tools

  • 7.4 Validation and Verification

Chapter 8: Advanced Topics and Recent Developments

  • 8.1 Nonlinear Generalized Point Models

  • 8.2 Stochastic and Uncertainty Modeling

  • 8.3 Multi-Physics Coupling

  • 8.4 Future Trends in Point Modeling

Chapter 9: Case Studies and Practical Examples

  • 9.1 Structural Health Monitoring

  • 9.2 Earthquake Engineering Applications

  • 9.3 Aerospace and Automotive Structures

  • 9.4 Optimization and Design

Chapter 10: Summary and Outlook

  • 10.1 Recap of Key Concepts

  • 10.2 Challenges and Open Problems

  • 10.3 Emerging Research Directions

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Tags: Ivan V Andronov, Generalized, structural mechanics