RESPONSE OF AN INFINITE TIMOSHENKO BEAM ON A VISCOELASTIC FOUNDATION TO A HARMONIC MOVING LOAD

✍ Scribed by Y.-H. CHEN; Y.-H. HUANG; C.-T. SHIH

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 355 KB
• Volume: 241
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3333

✦ Synopsis

The dynamic sti!ness matrix of an in"nite Timoshenko beam on viscoelastic foundation to a harmonic moving load is established. This dynamic sti!ness matrix is essentially a function of the velocity and frequency of the harmonic moving load. The critical velocities and the resonant frequencies can be easily determined. The dynamic responses of a European high-speed railway subjected to a harmonic moving load are calculated as an example for demonstration and discussion.

2001 Academic Press 0022-460X/01/150809#16 $35.00/0 *y *x " *y *x , *y *x " *y *x , *y *t " *y *t !v *y *x , *y *t " *y *t !2v *y *x *t #v *y *x .

(4)

The relationships between the derivatives of and have the same results as given in the previous equation. Substituting equations ( 3) and (4) into equations ( 1) and ( 2) can yield the following results: