Abstract
The closed form equations for equivalent linearization method are presented. In velocity response spectrum constant region, the response ductility is the function of yielding strength, yielding deformation angle and height of structure. But in acceleration response spectrum constant region, yielding deformation angle and height of structure is irrelevant to response ductility. And in deformation response spectrum constant region, yielding strength is irrelevant to response ductility. It is shown that these characteristics are essential by the discussion based on energy balance of stationary random vibration. The evaluation method for probability of failure during design lifetime, which is examined by deformation capacity is also presented. The closed form equations, for equivalent linearization method are utilized in above equation. The influence of variation of deformation capacity is considered in correction coefficient.
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