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Please give the mathematical formula of the following concepts. (a) Damped natural frequency of a SDOF system in terms of undamped frequency and damping ratio; (b) Critical damping of a damped SDOF system; (c) Unit impulse response function h(t-r) of a SDOF damped system; (d) Duhamel integral of a damped SDOF system;

Please give the mathematical formula of the following concepts. (a) Damped natural frequency of a SDOF system in terms of undamped frequency and damping ratio; (b) Critical damping of a damped SDOF system; (c) Unit impulse response function h(t-r) of a SDOF damped system; (d) Duhamel integral of a damped SDOF system;

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Question 1 Please give the mathematical formula of the following concepts. (a) Damped natural frequency of a SDOF system in terms of undamped frequency and damping ratio; (b) Critical damping of a damped SDOF system; (c) Unit impulse response function h(t-r) of a SDOF damped system; (d) Duhamel integral of a damped SDOF system;
Transcribed Image Text:Question 1 Please give the mathematical formula of the following concepts. (a) Damped natural frequency of a SDOF system in terms of undamped frequency and damping ratio; (b) Critical damping of a damped SDOF system; (c) Unit impulse response function h(t-r) of a SDOF damped system; (d) Duhamel integral of a damped SDOF system;
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