A Multiscale Model of Mass-Functionally Graded Beam-Fluid System Under Bending and Vibration Responses  

作　　者：Lei Zhang Jianping Lin Jiaqing Jiang Guannan Wang 

机构地区：[1]Department of Civil Engineering,Zhejiang University,866 Yuhangtang Road,Hangzhou,310058,China [2]Center for Balance Architecture,Zhejiang University,Hangzhou,310007,China [3]College of Civil Engineering,Huaqiao University,Xiamen,361021,China [4]Key Laboratory for Intelligent Infrastructure and Monitoring of Fujian Province,Huaqiao University,Xiamen,361021,China [5]Department of Engineering Mechanics,Zhejiang University,Hangzhou,310027,China

出　　处：《Acta Mechanica Solida Sinica》2024年第2期327-340,共14页固体力学学报（英文版）

基　　金：supported by the National Key Research and Development Program of China(No.2020YFA0711700);the National Natural Science Foundation of China(No.12322206,No.52378158,No.12302205);ZJU-ZCCC Institute of Collaborative Innovation(No.ZDJG2021002).

摘　　要：In this paper,a multiscale model is developed for the mass functionally graded(FG)beam-fluid system to investigate its static and dynamic responses based on 3D printed porous beam free vibration tests,which are determined by two aspects.At the microstructural level,the gradient variation is realized by arbitrary distribution of matrix pores,and the effective moduli under specific distribution are obtained using the micromechanics homogenization theory.In the meantime,at the structural level,the mechanical responses of FG porous beams subjected to mass loading are considered in a static fluid environment.Then,the explicit expressions of local finite-element(FE)expressions corresponding to the static and dynamic responses are given in the appendices.The present results are validated against numerical and experimental results from the literature and mechanical tests of 3D printed structures,with good agreement generally obtained,giving credence to the present model.On this basis,a comprehensive parametric study is carried out,with a particular focus on the effects of boundary conditions,fluid density,and slenderness ratio on the bending and vibration of FG beams with several different gradations.

关 键 词：3D printed test Mass functionally graded beam-fluid system Multiscale model Local finite-element expressions Static bending Free vibration 

分 类 号：O34[理学—固体力学]