AI 中文总结
研究柔性梁和刚体组成的受控机械系统，解析推导梁的传递函数，基于此在洛纳矩阵框架构建降阶模型，通过不同传感器-actuator对的伯德图对比分析验证频域建模框架。
AI 中文摘要
我们提出了一个由柔性梁和刚体组成的受控机械系统的频域模型。在体梁界面条件下，由铁木辛柯方程控制的梁的传递函数通过解析方法推导得出。基于这种无限维表示，在洛纳矩阵框架内构建降阶模型。针对梁模型，使用不同的传感器- actuator对选择对伯德图进行了对比分析，以验证所提出的频域建模框架。
英文摘要
We present frequency-domain models of a controlled mechanical system consisting of a flexible beam and a rigid body. The transfer function for the beam, governed by the Timoshenko equations under the body-beam interface conditions, is derived analytically. Based on this infinite-dimensional representation, reduced-order models are constructed within the framework of Loewner matrices. A comparative analysis of the Bode plots is presented for the beam model using different choices of sensor-actuator pairs to validate the proposed frequency-domain modeling framework.
