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
AbstractIn 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.
KeywordPiezoelectric Laminated Curved Beam Analytical Method Piezoelectric Effect Shear Deformation Variable Curvature
WOS HeadingsScience & Technology ; Technology
Indexed BySCI
Funding OrganizationHunan 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 Research AreaMechanics
WOS SubjectMechanics
WOS IDWOS:000395373600006
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Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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
Recommended Citation
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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