Isogeometric three-dimensional vibration of variable thickness parallelogram plates with in-plane functionally graded porous materials. (1st March 2020)

• Record Type: Journal Article
• Authors: Chen, Mingfei; Ye, Tiangui; Zhang, Jianhua; Jin, Guoyong; Zhang, Yantao; Xue, Yaqiang; Ma, Xianglong; Liu, Zhigang
• Is Part Of: International journal of mechanical sciences. Volume 169(2020)
• Publication Date: 2020-03-01
• Subjects: Vibration -- Functionally graded porous material -- Three-dimensional theory -- Variable thickness -- Isogeometric analysis; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2019.105304
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: 3D vibration of IFGP variable thickness parallelogram plates. Exact geometry description and higher order continuity of derivatives. Three porosity distributions and three geometrical models are established. New frequencies and mode shapes are presented. The influence of boundaries, materials and geometries is investigated. Abstract: In this paper, the vibration behaviors of variable thickness parallelogram plates with in-plane functionally graded porous materials are investigated by a numerical approach for the first time. The unknown fields and geometry of the in-plane functionally graded porous variable thickness parallelogram plates are established numerically by non–uniform rational B–splines functions under the framework of isogeometric analysis with three-dimensional theory. The porosities of parallelogram plates are assumed to be distributed continually along the in-plane direction with different distribution modes. The weak form requirements with three-dimensional theory can be satisfied by the formulation easily. Fast convergence and good accuracy are demonstrated in several numerical examples. Additionally, some innovative results and parameter effects are carried out in the text. This work can shed some new light on the investigation of complex three-dimensional vibration behavior of in-plane functionally graded porous variable thickness parallelogram plates. Graphical abstract: Image, graphical abstract