Jobair Rahman Ridoy
Analyze the structure's natural frequencies and modes of vibration using a finite element analysis (FEA) software or other analytical method. Measure the structure's response to an excitation, such as ambient vibrations or a controlled input, using sensors such as accelerometers. Use the measured response data to identify the modal properties of the structure, such as natural frequencies and mode shapes. Determine the mass, stiffness, and damping matrices for the TMDs based on the design and properties of the TMDs. Incorporate the TMD matrices into the overall mass, stiffness, and damping matrices of the structure using a modal combination method, such as the Craig-Bampton method or the component mode synthesis method. Validate the model by comparing the predicted response of the structure with TMDs to the measured response.
To obtain the mass, stiffness, and damping matrices of a shear structure with TMDs (tuned mass dampers) distributed in the structure's floors, you can use a combination of analytical and experimental methods. Here are some general steps you can follow:
Note: the TMDs can be modeled as a point mass-spring-damper system and added to the main structure matrices using substructuring method or Craig-Bampton method, this will change the natural frequency and damping ratio of the main structure.
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