[图书][B] Eigenvalues of inhomogeneous structures: unusual closed-form solutions
I Elishakoff - 2004 - taylorfrancis.com
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 …
form solutions for simple cases of bars, beams, columns, and plates. Despite the advances …
[图书][B] Mechanics of functionally graded material structures
IE Elishakoff, D Pentaras, C Gentilini - 2015 - books.google.com
Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at
various functionally graded materials, customizing them with various structures. The book is …
various functionally graded materials, customizing them with various structures. The book is …
Mass lumping techniques in the spectral element method: On the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods
S Duczek, H Gravenkamp - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
In the context of wave propagation analysis, the spectral element method (SEM) in
conjunction with a diagonal mass matrix is often the method of choice. Therefore, it is of high …
conjunction with a diagonal mass matrix is often the method of choice. Therefore, it is of high …
A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients
I Elishakoff - Archives of Computational Methods in Engineering, 2000 - Springer
This selective review (with emphasis on the word “selective”) gives only a taste of extensive
research that has been conducted since 1759 when Leonhard Euler posed, apparently for …
research that has been conducted since 1759 when Leonhard Euler posed, apparently for …
Exact solutions for free longitudinal vibrations of non-uniform rods
QS Li - Journal of Sound and Vibration, 2000 - Elsevier
An exact approach for free longitudinal vibrations of one-step non-uniform rods with
classical and non-classical boundary conditions is presented. In this paper, the expression …
classical and non-classical boundary conditions is presented. In this paper, the expression …
Wave propagation in slowly varying waveguides using a finite element approach
This work investigates structural wave propagation in one dimensional waveguides with
randomly varying properties along the axis of propagation, specifically when the properties …
randomly varying properties along the axis of propagation, specifically when the properties …
Exact general solutions for the mode shapes of longitudinally vibrating non-uniform rods via Lie symmetries
A Lie symmetry method-based approach is proposed for systematically computing general
solutions in closed-form for the mode shape equation of non-uniform and unconventional …
solutions in closed-form for the mode shape equation of non-uniform and unconventional …
Dependence of the coefficient of restitution on the shape of an impacting body
S Patra, A DasGupta - International Journal of Solids and Structures, 2023 - Elsevier
The effect of the shape possessed by an impacting body on the coefficient of restitution is
addressed using the case of low velocity axial impact of axisymmetric bars. We consider …
addressed using the case of low velocity axial impact of axisymmetric bars. We consider …
Closed-form solutions for the free longitudinal vibration of inhomogeneous rods
This paper aims at presenting a family of exact solutions for the longitudinal vibration of
variable area rods. Area variations that give solutions in terms of the confluent …
variable area rods. Area variations that give solutions in terms of the confluent …
Wave propagation in one-dimensional waveguides with slowly varying random spatially correlated variability
This paper investigates structural wave propagation in waveguides with randomly varying
material and geometrical properties along the axis of propagation. More specifically, it is …
material and geometrical properties along the axis of propagation. More specifically, it is …