๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A novel generation of the characteristic equation with application to free vibration

โœ Scribed by J.C. Hassab

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
353 KB
Volume
33
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

A novel approach is presented toward the exact generation of the characteristic equation in free system vibrations, starting from the homogeneous Fredholm integral equation of the second kind. While existing procedures are cumbersome to evaluate, the present process is quite amenable to rapid numerical estimates, since it is iterative in character. Unlike other iterative procedures, the convergence of the present scheme is warranted for all values of 2. The easy evaluation of the characteristic equation becomes particularly important when considering the response of complex systems to non-periodic forces.

๐Ÿ“œ SIMILAR VOLUMES

The application of the auxiliary equatio
The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients
โœ Yi Zhang; Shaoyong Lai; Jun Yin; Yonghong Wu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 575 KB

The auxiliary differential equation technique is employed to investigate a generalized mKdV equation with variable coefficients. The Jacobi elliptic function wave-like solutions of the equation are expressed under several circumstances. The degenerated solitonlike and trigonometric function solution

APPLICATION OF MATCHED ASYMPTOTIC EXPANS
APPLICATION OF MATCHED ASYMPTOTIC EXPANSIONS TO THE FREE VIBRATION OF A HERMETIC SHELL
โœ S.K. Wong; K.Y. Sze ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 218 KB

The low frequency branch of the torsion free axisymmetric modes of thin cylindrical shell with hemispherical caps vibrating in vacuo is investigated using membrane approximation. The joint conditions needed at the seams are derived by taking the effect of bending into account in narrow bending layer

Application of integral equations to the
Application of integral equations to the flexural vibration of a wedge with rotary inertia and shear
โœ Ho Chong Lee; K.E. Bisshopp ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 338 KB

This analysis extends the results of a previous paper by H. C. Lee (1) in which a generalized minimum principle is applied to a wedge. Similar results are obtained by the use of integral equations. Two types of integral equations are shown, one in a pair of equations and the other in a single equati