Demand-Based Optimal Design of Storage Tank with Inerter System

Abstract

A parameter optimal design method for a tank with an inerter system is proposed in this study based on the requirements of tank vibration control to improve the effectiveness and efficiency of vibration control. Moreover, a response indicator and a cost control indicator are selected based on the control targets for liquid storage tanks for simultaneously minimizing the dynamic response and controlling costs. These indicators are reformulated through a random vibration analysis under virtual excitation. The problem is then transformed from a multiobjective optimization problem to a single-objective nonlinear problem using the -constraint method, which is consistent with the demand-based method. White noise excitation can be used to design the tank with the inerter system under seismic excitation to simplify the calculation. Subsequently, a MATLAB-based calculation program is compiled, and several optimization cases are examined under different excitation conditions. The effectiveness of the demand-based method is proven through a time history analysis. The results show that specific vibration control requirements can be met at the lowest cost with a simultaneous reduction in base shears and overturning base moments.

Analytical optimization of an inerter‐based dynamic vibration absorber for suppressing plate vibration

“…The first engineering application of inerter is in the suspension of Formula One racing cars [17], after which, there have been many studies on the application of inerter in suspension [18][19][20][21][22]. Inerter has also been used in wind turbine structural control [23][24][25], civil engineering structures [26][27][28][29][30], and some other vibration control systems [31][32][33][34][35][36][37][38][39][40].…”

Effect of MetaFoundation on the Seismic Responses of Liquid Storage Tanks

“…However, increasing the thickness of the wall will increase the input seismic energy. The second approach, aiming to decrease and dissipate the input seismic energy, is exploiting the advantages of control devices, such as base isolation systems, dampers, or other innovative control devices [7].…”

Design of inerter-based multi-actuator systems for vibration control of adjacent structures

“…Moreover, the two-terminal character of inerter elements allows considering new and more sophisticated passive actuation layouts [24,25]. Recent research works in this field include novel inerter-based strategies to mitigate the vibrational response of buildings [26][27][28][29][30][31][32], bridges [33,34], liquid storage tanks [35] and wind turbines [36,37]. Also, an increasing attention is being paid to combined strategies for vibration control and energy harvesting [38][39][40][41].…”