典型文献
Large-Amplitude Oscillations of Hyperelastic Cylindrical Membrane Under Thermal-Mechanical Fields
文献摘要：
In this paper,the nonlinear dynamic behaviors of a hyperelastic cylindrical mem-brane composed of the incompressible Ogden material are examined,where the membrane is subjected to uniformly distributed radial periodic loads at the internal surface and surrounded by a thermal field.A second-order nonlinear differential equation describing the radially sym-metric motion of the membrane is obtained.Then,the dynamic characteristics of the system are qualitatively analyzed in terms of different material parameter spaces and ambient tem-peratures.Particularly,for a given constant load,the bifurcation phenomenon of equilibrium points is examined.It is shown that there exists a critical load,and the phase orbits may be the asymmetric homoclinic orbits of the"∞"type.Moreover,for the system with two centers and one saddle point,the dynamic behaviors of the system show softening phenomena at both centers,but the temperature has opposite effects on the stiffness of the structure.For a given periodically perturbed load superposed on the constant term,some complex dynamic behaviors such as quasiperiodic and chaotic oscillations are analyzed.With the Poincaré section and the maximum Lyapunov characteristic exponent,it is found that the ambient temperature could lead to the irregularity and unpredictability of the nonlinear system,and also changes the threshold of chaos.
文献关键词：
中图分类号：
作者姓名：
Wenzheng Zhang;Datian Niu;Fengxia Zhao
作者机构：
College of Science,Dalian Minzu University,Dalian 116600,China;Department of Information Engineering,Qinhuangdao Vocational and Technical College,Qinhuangdao 066100,China
文献出处：
引用格式：
[1]Wenzheng Zhang;Datian Niu;Fengxia Zhao-.Large-Amplitude Oscillations of Hyperelastic Cylindrical Membrane Under Thermal-Mechanical Fields)[J].固体力学学报（英文版）,2022(02):303-315
A类：
Hyperelastic
B类：
Large,Amplitude,Oscillations,Cylindrical,Membrane,Under,Thermal,Mechanical,Fields,In,this,paper,nonlinear,dynamic,behaviors,hyperelastic,cylindrical,composed,incompressible,Ogden,material,are,examined,where,membrane,subjected,uniformly,distributed,loads,internal,surface,surrounded,by,thermal,field,second,order,differential,equation,describing,radially,motion,obtained,Then,characteristics,system,qualitatively,analyzed,terms,parameter,spaces,ambient,peratures,Particularly,given,constant,bifurcation,phenomenon,equilibrium,points,It,shown,that,there,exists,critical,phase,orbits,may,asymmetric,homoclinic,type,Moreover,two,centers,saddle,softening,phenomena,both,temperature,opposite,effects,stiffness,structure,For,periodically,perturbed,superposed,some,complex,such,quasiperiodic,chaotic,oscillations,With,Poincar,section,maximum,Lyapunov,exponent,found,could,lead,irregularity,unpredictability,also,changes,threshold,chaos
AB值：
0.621965
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