Mode Superposition Method
Define Mode Superposition Method in brief?
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Mode Superposition Method:For most types of loadings, the contributions of various modes usually are greatest for the lowest frequencies and tend to reduce for the higher frequencies.Therefore, it is usually not necessary to include all the higher modes of vibration in the mode superposition process.In addition, the mathematical idealization of any complex structural system tends to be less reliable in predicting the higher modes. Thus, the number of modes in a dynamic analysis should naturally be limited to the lower modes.
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(a) The response for an undamped single degree of freedom system under free vibration is given as where ωn is the natural frequency and A and B are unknown that can be determined from the initial conditions. The response 
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