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Dynamic response of a Timoshenko beam on a tensionless Pasternak foundation
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  • Dynamic response of a Timoshenko beam on a tensionless Pasternak foundation
  • Dynamic response of a Timoshenko beam on a tensionless Pasternak foundation
저자명
Coskun. Irfan,Engin. Hasan,Tekin. Ayfer
간행물명
Structural engineering and mechanics : An international journal
권/호정보
2011년|37권 5호|pp.489-507 (19 pages)
발행정보
테크노프레스
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

The dynamic response of a Timoshenko beam on a tensionless Pasternak foundation is investigated by assuming that the beam is subjected to a concentrated harmonic load at its middle. This action results in the creation of lift-off regions between the beam and the foundation that effect the character of the response. Although small displacements for the beam and the foundation are assumed, the problem becomes nonlinear since the contact/lift-off regions are not known at the outset. The governing equations of the beam, which are coupled in deflection and rotation, are obtained in both the contact and lift-off regions. After removing the coupling, the essentials of the problem (the contact regions) are determined by using an analytical-numerical method. The results are presented in figures to demonstrate the effects of some parameters on the extent of the contact lengths and displacements. The results are also compared with those of Bernoulli-Euler, shear, and Rayleigh beams. It is observed that the solution is not unique; for a fixed value of the frequency parameter, more than one solution (contact length) exists. The contact length of the beam increases with the increase of the frequency and rotary-inertia parameters, whereas it decreases with increasing shear foundation parameter.