๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

VIBRATION OF MULTI-SPAN NON-UNIFORM BEAMS UNDER MOVING LOADS BY USING MODIFIED BEAM VIBRATION FUNCTIONS

โœ Scribed by D.Y. Zheng; Y.K. Cheung; F.T.K. Au; Y.S. Cheng

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
237 KB
Volume
212
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Based on Hamilton's principle, the vibration of a multi-span non-uniform beam subjected to a moving load is analysed by using modified beam vibration functions as the assumed modes. The modified beam vibration functions satisfy the zero deflection conditions at all the intermediate point supports as well as the boundary conditions at the two ends of the beam. Numerical results are presented for both uniform and non-uniform beams under moving loads of various velocities. Examples show that this method converges very quickly and good results are obtained.

๐Ÿ“œ SIMILAR VOLUMES

VIBRATION OF MULTI-SPAN NON-UNIFORM BRID
VIBRATION OF MULTI-SPAN NON-UNIFORM BRIDGES UNDER MOVING VEHICLES AND TRAINS BY USING MODIFIED BEAM VIBRATION FUNCTIONS
โœ Y.K. CHEUNG; F.T.K. AU; D.Y. ZHENG; Y.S. CHENG ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB

Based on the Lagrangian approach, the vibration of a multi-span non-uniform bridge subjected to a moving vehicle is analyzed by using modi"ed beam vibration functions as the assumed modes. The vehicle is modelled as a two-degree-offreedom system. The method is extended to the action of a moving trai

VIBRATIONS OF NON-UNIFORM CONTINUOUS BEA
VIBRATIONS OF NON-UNIFORM CONTINUOUS BEAMS UNDER MOVING LOADS
โœ Y.A. DUGUSH; M. EISENBERGER ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

The dynamic behavior of multi-span non-uniform beams transversed by a moving load at a constant and variable velocity is investigated. The continuous beam is modelled using Bernoulli}Euler beam theory. The solution is obtained by using both the modal analysis method and the direct integration method

RANDOM VIBRATION OF MULTI-SPAN TIMOSHENK
RANDOM VIBRATION OF MULTI-SPAN TIMOSHENKO BEAM DUE TO A MOVING LOAD
โœ R.-T. Wang; T.-Y. Lin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 238 KB

The method of modal analysis is presented to investigate the random vibration of a multi-span Timoshenko beam due to a load moving at a constant velocity. The load is considered to be a stationary process with a constant mean value and a variance. The effects of both velocity and statistical charact

FREE VIBRATION OF MULTI-SPAN TIMOSHENKO
FREE VIBRATION OF MULTI-SPAN TIMOSHENKO BEAMS USING STATIC TIMOSHENKO BEAM FUNCTIONS
โœ D. ZHOU ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 249 KB

It is well known that Euler}Bernoulli beam theory neglects the e!ect of transverse shear strain on the bending solutions because the assumption of plane cross-sections perpendicular to the axis of the beam remaining plane and perpendicular to the axis after deformation. This simple beam theory can g