THE EFFECT OF NON-RIGID JOINTS ON THE STATIC AND DYNAMIC INSTABILITIES OF A THREE-STEP TIMOSHINKO BEAM WITH FOLLOWER FORCE

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ESBATI A.H.; IRANI S.; MOUSAZADEH H.

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Journal: JOURNAL OF AEROSPACE SCIENCE AND RESEARCH Year:2009 | Volume:2 | Issue:3 Page(s): 1-10

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Title

THE EFFECT OF NON-RIGID JOINTS ON THE STATIC AND DYNAMIC INSTABILITIES OF A THREE-STEP TIMOSHINKO BEAM WITH FOLLOWER FORCE

Author(s)

ESBATI A.H. | IRANI S. | MOUSAZADEH H. | Issue Writer Certificate

Keywords

TIMOSHINKO BEAMQ3

FOLLOWER FORCEQ3

NON-RIGID JOINTQ3

3-STEP BEAMQ3

VARIABLE PROPERTYQ3

Abstract

In this work, the static and dynamic instabilities of a three-step TIMOSHINKO BEAM with FOLLOWER FORCE, considering changes in the stiffness of the joint springs, is investigated. To derive the related equations, Hamiltonian principle has been used. Energy relations are written for the TIMOSHINKO BEAM considering the rotational inertia and shear deformation. Steady and unsteady FOLLOWER FORCEs and the kinetic energy of lumped masses and included. It is noted that minor changes in mass and stiffness properties of the beam effect the critical force and the type of istability considerably. Also changing the beam’s length in different cases, critical modes change a considerable amount. Note, dynamic instability occurs because the third and fourth non-tend trequencies are combined, while the first and second frequencies stay stable.

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APA: Copy

ESBATI, A.H., IRANI, S., & MOUSAZADEH, H.. (2009). THE EFFECT OF NON-RIGID JOINTS ON THE STATIC AND DYNAMIC INSTABILITIES OF A THREE-STEP TIMOSHINKO BEAM WITH FOLLOWER FORCE. JOURNAL OF AEROSPACE SCIENCE AND RESEARCH, 2(3), 1-10. SID. https://sid.ir/paper/199481/en

Vancouver: Copy

ESBATI A.H., IRANI S., MOUSAZADEH H.. THE EFFECT OF NON-RIGID JOINTS ON THE STATIC AND DYNAMIC INSTABILITIES OF A THREE-STEP TIMOSHINKO BEAM WITH FOLLOWER FORCE. JOURNAL OF AEROSPACE SCIENCE AND RESEARCH[Internet]. 2009;2(3):1-10. Available from: https://sid.ir/paper/199481/en

IEEE: Copy

A.H. ESBATI, S. IRANI, and H. MOUSAZADEH, “THE EFFECT OF NON-RIGID JOINTS ON THE STATIC AND DYNAMIC INSTABILITIES OF A THREE-STEP TIMOSHINKO BEAM WITH FOLLOWER FORCE,” JOURNAL OF AEROSPACE SCIENCE AND RESEARCH, vol. 2, no. 3, pp. 1–10, 2009, [Online]. Available: https://sid.ir/paper/199481/en

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