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工程力学  2014 

球形沼气池模具结构振动响应的黏弹性解

DOI: 10.6052/j.issn.1000-4750.2012.07.0472, PP. 41-45

Keywords: 球形沼气池,模具结构,动力相互作用,本构参数,解析解,参数研究

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Abstract:

考虑土和模具结构的动力相互作用,在频率域内研究了深埋球形沼气池模具结构的动力特性。根据黏弹性理论,通过引入势函数得到了黏弹性土体的位移、应力等的解析解。将模具结构等效为具有分数阶导数本构关系的黏弹性体,根据黏弹性理论推导了模具结构振动响应的完全解析解。根据界面连续性条件,确定了待定系数的具体表达式。将不同类型的黏弹性模具结构动力响应进行了对比,并考察了分数导数本构参数、土体和模具结构各参数对系统动力特性的影响。结果表明:模具结构的黏性对系统动力响应有显著影响。随着壁厚的增加,模具结构振动响应幅值减小;随着阶数的增加,系统共振效应逐渐减弱;随着材料参数比的增加,系统响应幅值减小。

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