Modern Trends in Structural and Solid Mechanics 2: Vibrations

The second volume of "Modern Trends in Structural and Solid Mechanics" is dedicated to the vibrations of solid and structural members, covering topics such as exact and approximate vibration solutions, Bolotin's dynamic edge effect, plate theories, nano- and microbeams, nonlinear dynamics, elastoplastic softening oscillators, hysteretic oscillators, bridging waves, and three-dimensional propagation of waves. It is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Format: Hardback
Length: 304 pages
Publication date: 06 July 2021
Publisher: ISTE Ltd

Modern Trends in Structural and Solid Mechanics 2 is a comprehensive three-volume publication dedicated to Professor Isaac Elishakoff, presenting the latest developments and research breakthroughs in structural and solid mechanics. The second volume, specifically focused on the vibrations of solid and structural members, delves into a wide range of topics.

With its extensive coverage, Modern Trends in Structural and Solid Mechanics 2 encompasses various subjects, including:

Exact and Approximate Vibration Solutions for Rods, Beams, Membranes, Plates, and Three-Dimensional Elasticity Problems: This volume explores the mathematical models and computational techniques used to analyze the dynamic behavior of these structural elements. It discusses the development of efficient algorithms for solving vibration problems, including finite element methods, boundary element methods, and modal analysis.

Bolotin's Dynamic Edge Effect: This section examines the influence of edge effects on the vibration of solid structures, particularly thin plates and shells. It discusses the concept of dynamic edge effects and their impact on the stability and response of structures subjected to external loads.

Principles of Plate Theories in Dynamics: This chapter explores the principles of plate theories in dynamics, including the Euler-Bernoulli beam theory, Timoshenko beam theory, and von Karman plate theory. It discusses the derivation of plate equations, the analysis of plate structures, and the application of plate theories in various engineering applications.

Nano- and Microbeams: This section focuses on the study of nanoscale and microscale beams, which are characterized by their extremely small dimensions. It discusses the mechanical properties of these beams, including their stiffness, strength, and deformation behavior. It also explores the modeling and analysis of nano- and microbeams using advanced computational methods, such as molecular dynamics simulations and finite element methods.

Nonlinear Dynamics of Shear Extensible Beams: This chapter examines the nonlinear dynamics of shear extensible beams, which are subjected to combined bending and stretching forces. It discusses the development of analytical models and computational techniques for predicting the behavior of these beams under various loading conditions, including seismic excitation and wind loads.

Vibration and Aeroelastic Stability Behavior of Cellular Beams: This section explores the vibration and aeroelastic stability behavior of cellular beams, which are made up of interconnected cells or modules. It discusses the principles of cellular beam theory, the analysis of cellular beam structures, and the application of cellular beams in aerospace and automotive industries.

Dynamic Response of Elastoplastic Softening Oscillators: This chapter investigates the dynamic response of elastoplastic softening oscillators, which are commonly used in the modeling of materials with non-linear behavior. It discusses the development of analytical models and computational techniques for predicting the behavior of these oscillators under various loading conditions, including impact and fatigue.

Complex Dynamics of Hysteretic Oscillators: This section explores the complex dynamics of hysteretic oscillators, which are characterized by their non-linear hysteresis behavior. It discusses the development of analytical models and computational techniques for analyzing the stability and response of hysteretic oscillators under various loading conditions, including earthquake excitation and wind loads.

Bridging Waves: This chapter examines the concept of bridging waves and their application in the analysis of structural systems. It discusses the formation and propagation of bridging waves, their interaction with boundaries, and their influence on the dynamic response of structures.

Three-Dimensional Propagation of Waves: This section explores the three-dimensional propagation of waves in structural systems, including the wave equation, boundary conditions, and the analysis of wave-structure interactions. It discusses the application of wave propagation techniques in the design and analysis of buildings, bridges, and other structural systems.

Modern Trends in Structural and Solid Mechanics 2 is designed for graduate students and researchers in the field of theoretical and applied mechanics. It provides a comprehensive and up-to-date overview of the latest developments in structural and solid mechanics, covering a wide range of topics relevant to modern engineering practice.

With its extensive coverage, detailed explanations, and practical examples, this book is an invaluable resource for anyone seeking to advance their knowledge and expertise in structural and solid mechanics. Whether you are a student, researcher, or professional in the field, Modern Trends in Structural and Solid Mechanics 2 will help you stay at the forefront of this rapidly evolving discipline.

Weight: 580g
Dimension: 245 x 163 x 23 (mm)
ISBN-13: 9781786307156