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采用解析方法在频率域内研究了周期荷载作用下黏弹性土体中深埋球形沼气池简谐振动特性。将模具结构分别视为均匀弹性介质和薄壁壳体结构,基于弹性和Flügge理论,给出了分数导数黏弹性土中深埋球形沼气池振动响应的解析表达式。根据连续性边界条件,确定了相关待定系数的表达式。在此基础上,对比分析了均匀弹性介质和薄壁壳体时系统动力响应的结果,并考察了分数导数本构参数、土体和模具各参数对系统动力特性的影响。结果表明:两种模型下模具结构的振动响应存在较大差异。
Analytical method was used to study the harmonic vibration characteristics of deep-buried spherical biogas tanks in viscoelastic soil under cyclic loading in the frequency domain. The structure of the mold is regarded as homogeneous elastic medium and thin-walled shell respectively. Based on the elasticity and Flügge theory, the analytical expression of the vibration response of the deep-buried spherical digester in fractional-derivative viscoelastic soil is given. According to the continuity boundary conditions, the expression of the undetermined coefficient is determined. On this basis, the dynamic response of the system under uniform elastic medium and thin-walled shell was compared and analyzed. The constitutive parameters of fractional derivative, the influence of soil and mold parameters on the dynamic characteristics of the system were investigated. The results show that the vibration response of the die structure under the two models is quite different.