任意阶梯型截面Timoshenko梁的弯曲

doi:10.12066/j.issn.1007-2861.1974

Abstract

Abstract:

Bending deformation of a Timoshenko beam with arbitrary stepped cross-section and elastic support on boundaries was investigated. Based on the Heaviside function, analytical closed-form solutions of the deflection and rotational angle of the Timoshenko beam with arbitrary stepped cross-section subject to transverse load was derived. On this basis, the bending behavior of clamped and cantilever Timoshenko beams with single and double stepped cross-sections was analyzed numerically. Influences of location and quantity of the cross-section change, span-height ratio of the beam as well as stiffness of the boundary supports on the bending of the Timoshenko beam were examined. It is shown that there exist major differences of deflections and rotational angles between a Timoshenko beam with stepped cross-section and a Timoshenko beam with constant cross-section. Although deflection of the Timoshenko beam with stepped cross-section is smooth, there exists evident jump of the slope of the rotational angle of a Timoshenko beam with stepped cross-section at the location of the cross-section change.

Key words: Timoshenko beam with stepped cross-section, bending deformation, elastic support, generalized function, analytical closed-form solution

CLC Number:

TU223
TU317

Xiao YANG, Cheng QIAN, Xuewei QIAN. Bending of Timoshenko beam with arbitrary stepped cross-section[J]. Journal of Shanghai University（Natural Science Edition）, 2019, 25(5): 786-795.

Figures/Tables 7

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Bending of Timoshenko beam with arbitrary stepped cross-section

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