QUASI-STATIC AND DYNAMICAL ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAM WITH FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION

QUASI-STATIC AND DYNAMICAL ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAM WITH FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION

The equations of motion governing the quasi-static and dynamical behavior of a viscoelastic Timoshenko beam are derived. The viscoelastic material is assumed to obey a three-dimensional fractional derivative constitutive relation. The quasi-static behavior of the viscoelastic Timoshenko beam under s...

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Veröffentlicht in:Applied mathematics and mechanics 2002, Vol.23 (1), p.1-12
1. Verfasser: ZHU Zheng-you(朱正佑) LI Gen-guo(李根国) CHENG Chang-jun(程昌钧)
Format: Artikel
Sprache:eng
Schlagworte:
beam
constitutive
derivative
dynamical
equation
fractional
integro-differential
relation
response
singular
Timoshenko
viscoelastic
Volterra
weakly
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Zusammenfassung:The equations of motion governing the quasi-static and dynamical behavior of a viscoelastic Timoshenko beam are derived. The viscoelastic material is assumed to obey a three-dimensional fractional derivative constitutive relation. The quasi-static behavior of the viscoelastic Timoshenko beam under step loading is analyzed and the analytical solution is obtained. The influence of material parameters on the deflection is investigated. The dynamical response of the viscoelastic Timoshenko beam subjected to a periodic excitation is studied by means of mode shape functions. And the effect of both transverse shear and rotational inertia on the vibration of the beam is discussed.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02437724