Modal transformation tools in structural dynamics and wind engineering
Modal transformation tools in structural dynamics and wind engineering
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DOI：
10.12989/was.2000.3.4.221
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发表时间：
2000-12
影响因子：
1.6
通讯作者：
G. Solari;L. Carassale
中科院分区：
文献类型：
--
作者：
G. Solari;L. Carassale
结构动力学通常应用模态变换规则，旨在解耦和/或最小化运动方程。适当的正交分解提供了数学和概念工具来定义合适的变换空间，其中多变量和/或多维随机过程被表示为一变量和一维不相关过程的线性组合。双模态变换是模态分析和适当正交分解在加载过程中的联合应用。通过采用这种方法，结构响应被表示为双级数展开，其中结构和加载模式贡献叠加。同时使用结构模态截断、加载模态截断和跨模态正交性属性可产生仅考虑少数结构和加载模式的有效解决方案。此外，还阐明并解释了动态响应的物理机制。
Structural dynamics usually applies modal transformation rules aimed at de-coupling and/or minimizing the equations of motion. Proper orthogonal decomposition provides mathematical and conceptual tools to define suitable transformed spaces where a multi-variate and/or multi-dimensional random process is represented as a linear combination of one-variate and one-dimensional uncorrelated processes. Double modal transformation is the joint application of modal analysis and proper orthogonal decomposition applied to the loading process. By adopting this method the structural response is expressed as a double series expansion in which structural and loading mode contributions are superimposed. The simultaneous use of the structural modal truncation, the loading modal truncation and the cross-modal orthogonality property leads to efficient solutions that take into account only a few structural and loading modes. In addition the physical mechanisms of the dynamic response are clarified and interpreted.