Research on the Dynamics of Composite Laminated Beams Subject to Narrow-band Random Excitation
According to von Kármán type equations for geometric nonlinearity and Reddy’s high-order shear deformation theory,the nonlinear governing partial differential equations of the motion of composite laminated beams are derived by using Hamilton’s principle.The excitation is modelled as a narrow-band bounded noise.The largest Lyapunov exponent which determines the almost sure stability of the trivial solution is quantificationally resolved and the the stochastic jump and bifurcation of the response is numerically calculated.Results show that the increase of the bandwidth ? facilitates the almost sure stability of the trivial response.The basic phenomena imply that the higher is the frequency B,the more probable is the jump from the stationary nontrivial branch to the stationary trivial.The basic phenomena also indicate that the most probable motion is around the nontrivial branch when the bandwidth ? is smaller.For the force-response domain,results show that the outer flabellate peak decreases while the central volcano peak increases as the value of the excitation load decreases.
composite laminated plate principal parametric resonance narrow-band random excitation stochastic bifurcation and jump
Xiangjun Lan Zhihua Feng Fan Lv
School of Mechanical and Electric Engineering,Soochow University,Suzhou,215021,China School of Shagang Iron and Steel,Soochow University,Suzhou,215021,China
国际会议
南京
英文
1-4
2013-08-20（万方平台首次上网日期，不代表论文的发表时间）