NONLINEAR FORCED VIBRATION OF AXIALLY MOVING TIMOSHENKO BEAM IN THERMAL ENVIRONMENT VIA THE HARMONIC BALANCE METHOD

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NOROUZZADEH AMIR; ANSARI KHALKHALI REZA; DARVIZEH MANSOUR

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Journal: Modares Mechanical Engineering Year:2015 | Volume:14 | Issue:11 Page(s): 137-143

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Title

NONLINEAR FORCED VIBRATION OF AXIALLY MOVING TIMOSHENKO BEAM IN THERMAL ENVIRONMENT VIA THE HARMONIC BALANCE METHOD

Author(s)

NOROUZZADEH AMIR | ANSARI KHALKHALI REZA | DARVIZEH MANSOUR | Issue Writer Certificate

Keywords

AXIALLY MOVING TIMOSHENKO BEAMQ2

NONLINEAR FORCED VIBRATIONSQ2

THERMAL ENVIRONMENTQ2

GENERALIZED DIFFERENTIAL QUADRATURE METHODQ2

HARMONIC BALANCE METHODQ2

Abstract

Axially moving beams are extensively involved in various industries and have significant importance in many mechanical engineering problems. In this paper, the NONLINEAR FORCED VIBRATIONS of axially moving beam under harmonic force and THERMAL ENVIRONMENT have been studied. In order to considering the effects of transverse shear deformation and rotary inertia, the Timoshenko beam theory has been used to model the axially moving beam. The nonlinear governing equations are derived with the help of Hamilton’s principle. Then the equations and boundary conditions are discretized through GENERALIZED DIFFERENTIAL QUADRATURE METHOD (GDQ) and its differential matrix operators, and accordingly the partial differential equations are converted into the ordinary differential equations. To study the frequency response of the system, the HARMONIC BALANCE METHOD is used. Also the time responses of the axially moving beam are obtained by the Runge-Kutta method. In a case study, the effects of various parameters such as the axial speed, transverse force acting on the beam, damping coefficient and temperature change on the frequency responses of the axially moving beam with both end simply supported boundary conditions are discussed. The results show that the dynamic behavior of system is significantly affected by any of the mentioned factors.

Cites

NONLINEAR IDENTIFICATION OF CANTILEVER BEAM USING FREE VIBRATION RESPONSE DECAY AND SOLVING WITH DIFFERENTIAL TRANSFORM METHOD

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APA: Copy

NOROUZZADEH, AMIR, ANSARI KHALKHALI, REZA, & DARVIZEH, MANSOUR. (2015). NONLINEAR FORCED VIBRATION OF AXIALLY MOVING TIMOSHENKO BEAM IN THERMAL ENVIRONMENT VIA THE HARMONIC BALANCE METHOD. MODARES MECHANICAL ENGINEERING, 14(11), 137-143. SID. https://sid.ir/paper/179508/en

Vancouver: Copy

NOROUZZADEH AMIR, ANSARI KHALKHALI REZA, DARVIZEH MANSOUR. NONLINEAR FORCED VIBRATION OF AXIALLY MOVING TIMOSHENKO BEAM IN THERMAL ENVIRONMENT VIA THE HARMONIC BALANCE METHOD. MODARES MECHANICAL ENGINEERING[Internet]. 2015;14(11):137-143. Available from: https://sid.ir/paper/179508/en

IEEE: Copy

AMIR NOROUZZADEH, REZA ANSARI KHALKHALI, and MANSOUR DARVIZEH, “NONLINEAR FORCED VIBRATION OF AXIALLY MOVING TIMOSHENKO BEAM IN THERMAL ENVIRONMENT VIA THE HARMONIC BALANCE METHOD,” MODARES MECHANICAL ENGINEERING, vol. 14, no. 11, pp. 137–143, 2015, [Online]. Available: https://sid.ir/paper/179508/en

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