The Decomposed Theorem of Torsional Circular Shaft with Two-Dimensional Dodecagonal Quasicrystal

摘要：

Gregorys decomposed theorem of isotropic plate is extended to investigate torsional circular shaft for two-dimensional dodecagonal quasicrystal (2D dodecagonal QCs)with homogeneous boundary conditions, and the theory of equivalence that Chengs refined theory and Gregorys decomposed theorem is extended to the cylindrical coordinate.The decomposed theorem of torsional circular shaft of 2D dodecagonal QCs with homogeneous boundary conditions is proposed on the basis of the classical elasticity theory and stress-displacement relations of 2D dodecagonal QCs without ad hoc assumptions.At first expressions are obtained for all the displacements and stress components in term of some ID functions.Using Lure method, the exact equations were given.And the exact equations for the torsional circular shaft on 2D dodecagonal QCs without surface loadings consist of four governing differential equations: two harmonic equations and two transcendental equations.

关键词： two-dimensional dodecagonal quasicrystal mechanical behavior the decomposed theorem the torsional deformation the circular shaft

作者: BAO-SHENG ZHAO YING-TAO ZHAO YANG GAO

作者单位: School of Mechanical Engineering,University of Science and Technology Liaoning,shan,114051,PR China Department of Applied Mechanics,School of Aerospace Engineering,Beijing Institute ofTechnology,Beiji College of Science,China Agricultural University,Beijing,100083,PR China；

会议类型: 国际会议

会议名称: 2011 2nd International Conference on Material and Manufacturing Technology(2011第二届材料与制造技术国际会议 ICMMT2011)

会议地点: 厦门

会议语种:英文

页码: 1-5

在线出版日期: 2011-07-08（万方平台首次上网日期，不代表论文的发表时间）