Analytical Solution of Thick Piezoelectric Curved Beams with Variable Curvature Considering Shearing Deformation
Zhou, Yong1,2; Nyberg, Timo2; Xiong, Gang2,3; Li, Shi1; Zhou, Hongbo1; Bao, Sen2
2017
发表期刊INTERNATIONAL JOURNAL OF APPLIED MECHANICS
卷号9期号:1页码:1553–1564
文章类型Article
摘要In this paper, an analytical method based on Timoshenko theory is derived for obtaining the in-plane static closed-form general solutions of deep curved laminated piezoelectric beams with variable curvatures. The equivalent modulus of elasticity is utilized to take into account the material couplings in the laminated beam. The linear piezoelectric effect is considered to develop the static governing equations. The governing differential equations are formulated as functions of the angle of tangent slope by introducing the coordinate system defined by the arc length of the centroidal axis and the angle of tangent slope. To solve the governing equations, defined are the fundamental geometric properties, such as the moments of the arc length with respect to horizontal and vertical axes. As the radius is known, the fundamental geometric quantities can be calculated to obtain the static closed-form solutions of the axial force, shear force, bending moment, rotation angle, and displacement fields at any cross-section of curved beams. The closed-form solutions of the circle beams covered with piezoelectric layers under various loading cases are presented. The results show the consistency in comparison with finite results. Solutions of the non-dimensional displacements for the laminated circular and spiral curved beams with different lay-ups are available. The non-dimensional displacements with geometry and material parameters are also investigated.
关键词Piezoelectric Laminated Curved Beam Analytical Method Piezoelectric Effect Shear Deformation Variable Curvature
WOS标题词Science & Technology ; Technology
DOI10.1142/S1758825117500065
关键词[WOS]ACTUATORS ; PERFORMANCE ; VIBRATIONS ; BEHAVIOR ; LAYER
收录类别SCI
语种英语
项目资助者Hunan Province University Scientific Research Project(12B054) ; National Natural Science Foundation of China(7123200 ; Finnish TEKES's Project "SoMa: Social Manufacturing" ; Chinese Guangdong's ST Project(2014B010118001 ; Chinese Dongguan's ST Project(2013508102018) ; Dongguan's Innovation Talents Project ; 61233001) ; 2014A050503004)
WOS研究方向Mechanics
WOS类目Mechanics
WOS记录号WOS:000395373600006
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/14409
专题复杂系统管理与控制国家重点实验室_先进控制与自动化
作者单位1.Hunan Inst Sci & Technol, Coll Mech Engn, Yueyang 414006, Peoples R China
2.Aalto Univ, Sch Sci, FIN-00076 Espoo, Finland
3.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Zhou, Yong,Nyberg, Timo,Xiong, Gang,et al. Analytical Solution of Thick Piezoelectric Curved Beams with Variable Curvature Considering Shearing Deformation[J]. INTERNATIONAL JOURNAL OF APPLIED MECHANICS,2017,9(1):1553–1564.
APA Zhou, Yong,Nyberg, Timo,Xiong, Gang,Li, Shi,Zhou, Hongbo,&Bao, Sen.(2017).Analytical Solution of Thick Piezoelectric Curved Beams with Variable Curvature Considering Shearing Deformation.INTERNATIONAL JOURNAL OF APPLIED MECHANICS,9(1),1553–1564.
MLA Zhou, Yong,et al."Analytical Solution of Thick Piezoelectric Curved Beams with Variable Curvature Considering Shearing Deformation".INTERNATIONAL JOURNAL OF APPLIED MECHANICS 9.1(2017):1553–1564.
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