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首页> 外文会议>International Symposium on Active Control of Sound and Vibration >A STATE-SPACE FORMULATION OF COUPLED STRUCTURE-ACOUSTIC VIBRATIONS FOR ACTIVE CONTROL SIMULATIONS APPLIED TO A CAVITY ENCLOSED BY A SANDWICH CYLINDER
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A STATE-SPACE FORMULATION OF COUPLED STRUCTURE-ACOUSTIC VIBRATIONS FOR ACTIVE CONTROL SIMULATIONS APPLIED TO A CAVITY ENCLOSED BY A SANDWICH CYLINDER

机译：用于主动控制模拟的耦合结构声振动的状态空间配方施加到由夹心缸包围的腔

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摘要

A state-space formulation of a structure-acoustic system is derived, which shall be used to perform simulations of active noise control systems. It is based on variational formulations of the structure equation of motion and the acoustic wave equation, which are coupled with each other. A so-called direct formulation of the coupled problem results in unsymmetrical matrices of the second order system of partial differential equations. This system is transformed into first order form, which directly leads to the state equation. After a modal transformation/condensation one gets the state equation in modal or canonical form. This approach is applied to a cavity being enclosed by a sandwich cylinder. The basis functions are derived from the closed form solution of the problem and are a combination of trigonometric and Bessel functions. The eigenvalue solver allows to calculate the coupled modes very accurately. However the eigenvalue problem only can be solved for the lowest modes, since the frequency is contained in the basis functions (transcendental functions included in the characteristic polynomial). Active structure noise control (ASNC) is applied using an linear quadratic Gaussian (LQG) controller. Actuation is realised by radial forces on the cylinder. Acoustic pressure and velocity are observed. The results show promising noise reductions with reasonable control forces.
机译：推导出结构 - 声学系统的状态空间配方，其用于执行有源噪声控制系统的模拟。它基于运动的结构方程和声波方程的变分制剂，其彼此耦合。耦合问题的所谓的直接配方导致部分微分方程的二阶系统的非对称矩阵。该系统转换为第一阶形式，直接通向状态方程。在模态转换/冷凝之后，将状态等式以模态或规范形式获得。该方法应用于由夹层缸包围的腔。基础函数源自问题的封闭形式解决方案，并且是三角函数和贝塞尔函数的组合。特征值求解器允许非常准确地计算耦合模式。然而，对于最低模式，仅可以解决特征值问题，因为频率以基本函数包含（特征多项式中包括的超渡函数）。使用线性二次高斯（LQG）控制器施加有源结构噪声控制（ASNC）。通过圆筒上的径向力来实现致动。观察声压和速度。结果表明，具有合理控制力的噪声减少。

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