Eigenvalues of Inhomogeneous Structures Unusual Closed-Form Solutions
Auteur : Elishakoff Isaac
The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation of the accuracy of approximate and numerical solutions, and for evaluating the role played by various geometric and loading parameters.
Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions offers the first new treatment of closed-form solutions since the works of Leonhard Euler over two centuries ago. It presents simple solutions for vibrating bars, beams, and plates, as well as solutions that can be used to verify finite element solutions. The closed solutions in this book not only have applications that allow for the design of tailored structures, but also transcend mechanical engineering to generalize into other fields of engineering. Also included are polynomial solutions, non-polynomial solutions, and discussions on axial variability of stiffness that offer the possibility of incorporating axial grading into functionally graded materials.
This single-package treatment of inhomogeneous structures presents the tools for optimization in many applications. Mechanical, aerospace, civil, and marine engineers will find this to be the most comprehensive book on the subject. In addition, senior undergraduate and graduate students and professors will find this to be a good supplement to other structural design texts, as it can be easily incorporated into the classroom.
Date de parution : 10-2004
15.6x23.4 cm
Date de parution : 06-2020
15.6x23.4 cm
Thèmes d’Eigenvalues of Inhomogeneous Structures :
Mots-clés :
Inverse Nodal Problems; Inverse Eigenvalue Problems; closed-form solution; Buckling Load; inhomogeneous structures; Flexural Rigidity; exact finite element; Mode Shape; Eigenvalue problem; Rayleigh Ritz Method; Fundamental Frequency; Exact Mode Shape; Closed Form Solutions; Inertial Coefficient; Homogeneous Linear Algebraic Equations; Natural Frequency; Lommel Functions; Longitudinal Rigidity; Buckling Mode; Technion Israel Institute; Circular Plates; Fourth Order Polynomial; Axisymmetric Vibration; Non-trivial Solution; Non-uniform Columns; Linear Algebraic Equations; Uniform Columns; Inverse Problems; Vibration Mode Shapes