Nolinear harmonic response characteristics and experimental investigation of cantilever hard-coating plate

被引：19
|
作者：
Yang, Z. X. [1 ]
Han, Q. K. [2 ]
Chen, Y. G. [2 ]
Jin, Z. H. [1 ]
机构：
[1] Shenyang Univ Chem Technol, Sch Energy & Power Engn, 11th St, Shenyang, Peoples R China
[2] Dalian Univ Technol, Sch Mech Engn, 2 Linggong Rd, Dalian, Peoples R China
来源：
NONLINEAR DYNAMICS | 2017年 / 89卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hard-coating plate; Nonlinear harmonic response; Experimental investigation; Perturbation method; INITIAL EDGE DISPLACEMENT; CLAMPED RECTANGULAR PLATE; FREE-VIBRATION; DEFLECTION;
D O I：
10.1007/s11071-017-3433-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The nonlinear harmonic response of a cantilever hard-coating plate which is made of a layer of anisotropic hard-coating material and isotropic metal substrate is investigated based on the theory of high-order shear deformation of plate. Firstly, based on the theories of von Karman and Reddy's three-order shear deformation, the nonlinear dynamic equations of hard-coating plate are built by Hamilton variation principle. Secondly, to obtain nonlinear governing equation of hard-coating plate under transverse load, these equations are discretized in Galerkin method. The system averaged equations with 1: 3 internal resonances are obtained by the method of multiple scales, and the multi-periodic responses behavior of cantilever hard-coating plate under transverse loading could be presented. Finally, the vibration response experiment of hard-coating plate is conducted, and the multi-periodic responses are also present for the hard-coating plate with three-to-one internal resonance. Besides, through the vibration response experiment of uncoated titanium alloy plate, the damping characteristic of hard coating is further analyzed.
引用
收藏
页码：27 / 38
页数：12
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