PERIODIC BEHAVIOR ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH MIDDLE MASS SUBJECTED TO HARMONIC AXIAL EXCITATION

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FEYZ DIZAJI A.; RASTGARI R.

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Journal: Year:2003 | Volume:36 | Issue:4 (78) Page(s): 483-493

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Title

PERIODIC BEHAVIOR ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH MIDDLE MASS SUBJECTED TO HARMONIC AXIAL EXCITATION

Author(s)

FEYZ DIZAJI A. | RASTGARI R. | Issue Writer Certificate

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Abstract

Dynamic equation of a simply supported beam with a lump mass in the midspan subjected to harmonic axial excitation, whose one end can move along the beam freely, is a nonlinear differential equation with no explicate solution. In this article we start extracting the equation of motion. Existence of periodic solution, under some condition, are investigated and proved using green function and Schaunders fixed point theorem; also noting into the structure of differential equation of motion, existence of oscillating response investigated, independently. By this analysis, it becomes possible to predict whether the solution converges to a point (zero) or a periodic answer

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APA: Copy

FEYZ DIZAJI, A., & RASTGARI, R.. (2003). PERIODIC BEHAVIOR ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH MIDDLE MASS SUBJECTED TO HARMONIC AXIAL EXCITATION. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 36(4 (78)), 483-493. SID. https://sid.ir/paper/14278/en

Vancouver: Copy

FEYZ DIZAJI A., RASTGARI R.. PERIODIC BEHAVIOR ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH MIDDLE MASS SUBJECTED TO HARMONIC AXIAL EXCITATION. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2003;36(4 (78)):483-493. Available from: https://sid.ir/paper/14278/en

IEEE: Copy

A. FEYZ DIZAJI, and R. RASTGARI, “PERIODIC BEHAVIOR ANALYSIS OF A SIMPLY SUPPORTED BEAM WITH MIDDLE MASS SUBJECTED TO HARMONIC AXIAL EXCITATION,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 36, no. 4 (78), pp. 483–493, 2003, [Online]. Available: https://sid.ir/paper/14278/en

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