Rigid Structures with Point-Flexibility : Elasto-statics, Dynamics, Stability and Plastic Collapse / by Angelo Luongo, Achille Paolone, Simona Di Nino.

Format:

Book

Author/Creator:

Luongo, Angelo.

Contributor:

Paolone, Achille.

Di Nino, Simona.

Language:

English

Subjects (All):

Multibody systems.

Vibration.

Mechanics, Applied.

Building materials.

Buildings--Design and construction.

Buildings.

Multibody Systems and Mechanical Vibrations.

Engineering Mechanics.

Structural Materials.

Building Construction and Design.

Local Subjects:

Multibody Systems and Mechanical Vibrations.

Engineering Mechanics.

Structural Materials.

Building Construction and Design.

Physical Description:

1 online resource (833 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2025.

Summary:

This book deals with kinematics and statics of rigid-body systems, lumped elasticity, variational principles, dynamics, stability and bifurcation, piece-wise linear (rigid-plastic or elasto-plastic) constitutive behavior, and geometrically nonlinear behavior. The presentation of the matter is strongly innovative: all the fundamental principles and methods, which are usually discussed for continuous media (namely, the displacement and force methods, the virtual work principle, the stationarity theorems of the total potential and complementary energies), are here illustrated for naturally discrete structures. Consequently, the fundamental problem of mechanics, which, for centenary worldwide tradition, is discussed in the context of the mathematical analysis, is here brought back to the algebra environment. Due to the strong simplifications of the calculus, the learner can focus his attention on the (complex) logical architecture of the linear and nonlinear elasticity theory (and later, of limit analysis), not being distracted by the mathematical difficulties inherent partial differential equations and boundary conditions. Moreover, he easily gains insight into the mechanical behavior of structures, which clearly emerges from the numerous examples presented. The book is mainly devoted to undergraduate students. However, it is also meant as a reading successive to classic texts on continuous systems, useful to graduate and Ph.D. students to deepen their knowledge of general principles and methods of structural mechanics.

Contents:

Introduction

Kinematics of Rigid-Body Systems

Statics of Rigid-Body Systems

Duality of Kinematic and Static Problems

Deformable Devices

Fundamental Problem of Lumped-Deformability Systems

Unconstrained Elastic Problem

Constrained Elastic Problem

Elasto-Plastic Problem

Linearized Theory of Pre-Solicited Systems: Geometric Stiffness and Bifurcation

Fundamentals of Dynamics and Stability

Introduction to Geometrically Nonlinear Problems.

ISBN:

3-031-94243-4