楔形体匀速和自由落体水弹性砰击的半解析法求解EI北大核心CSCD

针对二维弹性楔形体入水过程的流固耦合问题,提出一种基于耦合Wagner理论和模态叠加法的半解析解方法。结构湿表面的速度势基于Wagner理论求解并考虑了结构弹性影响。砰击压力根据伯努利方程求解,为提高求解精度考虑了伯努利方程中速度平方项。通过平均弹性速度修正模型推导出附加质量和阻尼矩阵,将其代入固体动力学方程从而建立统一的流固耦合方程,耦合方程通过基于隐式的Newmark-β算法实现求解。通过计算楔形体垂直恒速和自由落体入水两种运动状态,并与基于半解析、数值和试验的文献结果进行了对比,验证了所提理论的可靠性。

Semi analytical solution to hydro-elastic slamming of wedge with constant velocity and free-falling body

Here,a semi analytical solution method based on coupling between Wagner theory and modal superposition method was proposed for the fluid-structure coupled problem of 2D elastic wedge entering water process.Based on Wagner theory,the velocity potential of structure wet surface was solved considering effects of structural elasticity.The slamming pressure was solved according to Bernoulli equation.In order to improve the solving accuracy,the square term of velocity in Bernoulli equation was considered.The added mass and damping matrices were derived with the average elastic velocity correction model and substituted into the solid dynamic equation to establish a unified fluid-structure interaction equation.This coupling equation was solved with the implicit Newmark-βAlgorithm.The reliability of the proposed theory was verified by calculating a wedge’s 2 motion states of vertical cons tant velocity and free falling into water,and comparing the obtained results with those published in literature based on semi-analytical,numerical methods and tests.