Non-harmonic resonance of viscoelastic structures subjected to time-dependent exponentially decreasing transverse distributed loads  

作　　者：Nasrin Jafari 

机构地区：[1]Department of Civil Engineering,Isfahan University of Technology,Isfahan 84156-83111,Iran

出　　处：《Earthquake Engineering and Engineering Vibration》2023年第3期825-840,共16页地震工程与工程振动（英文刊）

摘　　要：In this paper,the non-harmonic resonance of Bernoulli viscoelastic beams,Kirchhoff viscoelastic plates,Timoshenko viscoelastic beams,and Mindlin viscoelastic plates subjected to time-dependent exponentially decreasing transverse distributed load is investigated for the first time.The constitutive equations are expressed utilizing Boltzmann integral law with a constant bulk modulus.The displacement vector is approximated by employing the separation of variables method.The Laplace transformation is used to transfer equations from the time domain to the Laplace domain and vice versa.The novel point of the proposed method is to express,prove and calculate the critical time in which the displacement will be several times the displacement at time zero.In addition,this new method calculates the maximum deflection at the critical time,explicitly and exactly,without any need to follow the time-displacement curve with a low computational cost.Additionally,the proposed method introduces the critical range of time so that the responses are greater than the responses at time zero.

关 键 词：Bernoulli and Timoshenko viscoelastic beams critical time non-harmonic resonance time-dependent decreasing exponential load Kirchhoff and Mindlin viscoelastic plates 

分 类 号：TU352.1[建筑科学—结构工程]