For the seismic design of super high-rise buildings in Japan, nonlinear response analyses are essential. In these analyses, the tangent stiffness proportional damping is often used. This damping model is suitable to express the change of the damping force corresponding to nonlinear condition of buildings, while it overestimates the damping ratios for higher modes. Then, this model underestimates the response and leads to the seismic design to the dangerous side.
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Naohiro Nakamura (2019) studied this question.
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