In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates, elastic wave scattering and dynamic stress concentrations in plates with two cutouts were studied....In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates, elastic wave scattering and dynamic stress concentrations in plates with two cutouts were studied. Applying the orthogonal function expansion method, the problem to be solved can be reduced into the solution of a set of infinite algebraic equations. According to free boundary conditions, numerical results of dynamic moment concentration factors in thick plates with two circular cutouts analyze that: there will be more complex interaction changes between two-cutout situation than single cutout situation. In the case of low frequency or high frequency and thin plate, the hole-spacing in the absence of coupling interactions was larger or smaller. The numerical results and method can be used to analyze the dynamics and strength of plate-like structures.展开更多
基于Kirchhoff薄板弯曲振动理论和波函数法Wave Based Method（WBM）理论,推导了运用WBM将附加弹簧阻尼结构转化为点激励的方法,构建了基于WBM计算含弹簧阻尼支承薄板振动响应的系统矩阵,得到了含弹簧阻尼支承的薄板弯曲振动响应。以四...基于Kirchhoff薄板弯曲振动理论和波函数法Wave Based Method（WBM）理论,推导了运用WBM将附加弹簧阻尼结构转化为点激励的方法,构建了基于WBM计算含弹簧阻尼支承薄板振动响应的系统矩阵,得到了含弹簧阻尼支承的薄板弯曲振动响应。以四边简支矩形板为例,计算了50~600 Hz频段内参考点的振动响应,并与解析法和有限元法的计算结果进行了对比。运用该方法对比计算了添加不同弹簧阻尼结构数与无弹簧阻尼结构时薄板在120 Hz的弯曲振动响应。结果表明：通过将弹簧阻尼结构转换成点激励的方法,能有效的将WBM应用于附加弹簧阻尼支承薄板弯曲振动响应的仿真计算,与有限元法相比,有着更高精度和收敛速度。展开更多
文摘In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates, elastic wave scattering and dynamic stress concentrations in plates with two cutouts were studied. Applying the orthogonal function expansion method, the problem to be solved can be reduced into the solution of a set of infinite algebraic equations. According to free boundary conditions, numerical results of dynamic moment concentration factors in thick plates with two circular cutouts analyze that: there will be more complex interaction changes between two-cutout situation than single cutout situation. In the case of low frequency or high frequency and thin plate, the hole-spacing in the absence of coupling interactions was larger or smaller. The numerical results and method can be used to analyze the dynamics and strength of plate-like structures.
文摘基于Kirchhoff薄板弯曲振动理论和波函数法Wave Based Method（WBM）理论,推导了运用WBM将附加弹簧阻尼结构转化为点激励的方法,构建了基于WBM计算含弹簧阻尼支承薄板振动响应的系统矩阵,得到了含弹簧阻尼支承的薄板弯曲振动响应。以四边简支矩形板为例,计算了50~600 Hz频段内参考点的振动响应,并与解析法和有限元法的计算结果进行了对比。运用该方法对比计算了添加不同弹簧阻尼结构数与无弹簧阻尼结构时薄板在120 Hz的弯曲振动响应。结果表明：通过将弹簧阻尼结构转换成点激励的方法,能有效的将WBM应用于附加弹簧阻尼支承薄板弯曲振动响应的仿真计算,与有限元法相比,有着更高精度和收敛速度。
