Basic Study on Seismic Response Analysis and Optimal Design of Piping System Supported by Elasto-Plastic Damper Based on Probabilistic and Statistical Theory

Abstract

In this paper, we propose the seismic response analysis method and investigate the optimal design of the piping system supported by elasto-plastic damper subjected to the random input based on the random vibration theory. The piping system is modeled by simple cantilever beam with weight. The support force is given by bilinear model. The inputs are given by white Gaussian noises. In this optimal design, we can maintain the structural integrities of both the piping systems and the elasto-plastic supporting devices by taking three indexes; dynamic reliability of pipings, accumulated energy of support and dynamic reliability of support into account. Furthermore, the optimal conditions of parameters such as the supporting location, the capacity of the supporting devices are searched. Numerical simulations are performed using a simple piping system model for the random input based on the probabilistic vibration theory. The optimal design proposed here is applicable to the seismic design of piping systems supported by elasto-plastic dampers subjected to the actual earthquake input.

Basic study on dynamic reliability of machinery and piping system supported by elasto-plastic supports

“…Furthermore, recently, seismic design methods using the probabilistic characteristics such as dynamic reliability are required by the simple numerical simulation. Hence, optimal vibration-proof design based on probabilistic theory considering probabilistic deviation in the seismic inputs and both the integrity of the I-type piping systems and the supporting devices were also investigated by simulation analysis (Shintani et al, 2013a;Shintani et al, 2013b).…”