Comparison between numerical result and variational solution shows that the method used in this work is effective for studying flow-induced vibration of pipeline on offshore platform.
比较等截面管道的变分解和数值解，说明此方法用于研究海洋平台输液管道的流体激振是有效的。
Thus, the theory of state space is combined with variational solution, and the variational results for free vibration frequency of the laminates with arbitrary thickness are calculated.
根据应力变分和伽辽金变分原理，导出混合变分方程，并将其转换成状态方程，使状态空间理论和变分解相结合，给出任意厚度叠层板自振频率的变分解。
Thus, the theory of state space is combined with variational solution, and the variational results for free vibration frequency of the laminates with arbitrary thickness are calculated.
根据应力变分和伽辽金变分原理，导出混合变分方程，并将其转换成状态方程，使状态空间理论和变分解相结合，给出任意厚度叠层板自振频率的变分解。
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