南京工业大学学报（自然科学版）2017，Vol.39Issue(5)：85-91,114,8.DOI:10.3969/j.issn.1671-7627.2017.05.014
黏弹性胶合铁木辛柯梁的力学性能分析
Analysis of mechanical properties of glued Timoshenko beams with a viscoelastic interlayer
摘要
Abstract
The mechanical properties of glued Timoshenko beams with a viscoelastic interlayer subjected to any kinds of loads are studied by using the standard linear solid model to describe the viscoelasticity of the glue. The basic equations of Timoshenko beams are established based on the first-order shear deformation theory.The displacement and rotation angle functions of simply supported Timoshenko beams are expressed as Fourier series with time-dependent coefficients. Substitute the Fourier series into equilibrium equations of displacement and rotation angle obtained by energy method to solve the undetermined coefficients. Then the time-dependent analytic expressions of stress and displacement of glued Timoshenko beams with a viscoelastic interlayer subjected to any kinds of loads can be obtained. Taking sinusoidal and distributed loads as the examples to prove the correctness of the present results. Numerical comparison shows that the present results have a good agreement with the finite element solutions.It shows that results based on the Timoshenko beam theory have a better accuracy than those based on the Euler-Bernoulli beam theory when the length-to-thickness ratio of the layered beams is small.And the shear stress of the glue decreases with time.The mid-span deflection of the beams increases with time and tends to constant,which is significantly affected by the thickness and shear modulus of the glue,after a certain time.关键词
层合梁/黏弹性层/一阶剪切变形理论/标准线性固体模型/解析解Key words
layered beams/viscoelastic interlayer/first-order shear deformation theory/standard linear solid model/analytical solution分类
数理科学引用本文复制引用
王林,吴鹏,周叮,张建东..黏弹性胶合铁木辛柯梁的力学性能分析[J].南京工业大学学报（自然科学版）,2017,39(5):85-91,114,8.基金项目
国家重点基础研究发展计划(973计划)(2012CB026205) （973计划）
国家自然科学基金(51478107) （51478107）
江苏省交通运输科技项目(2014Y01) （2014Y01）
