Energy Spectrum Study and Optimal Design of an Inerter-Based Structure Considering the Underlying Soil

Abstract

As a classic inerter system, the tuned viscous mass damper (TVMD) has been proven to be efficient for vibration control. It is characterized by an amplification effect, where the deformation of the dashpot in the TVMD can be larger than that of a single dashpot, providing enhanced energy dissipation. However, the contribution of this system to the enhancement of the energy dissipation quantity and vibration control remains unclear. To deal with this, and considering the underlying soil, this study proposes a systematic energy spectrum analysis framework for the single-degree-of-freedom (SDOF) element controlled by a tuned viscous mass damper (TVMD) in order to reveal the energy characteristics of the TVMD and develop an optimal energy dissipation enhancement-based design. The proposed energy spectrum analysis includes ground motion propagation and energy balance analysis. Considering the underlying soil, energy balance analysis is performed for a series of SDOF elements connected to the TVMD, which yields a fitted input energy spectrum for optimal design of the TVMD. Extensive parametric analysis reveals energy characteristics of the TVMD compared with a single dashpot, yielding an optimal energy dissipation enhancement-based design. The findings of this study show that by considering the soil underneath the inerter-based structure, the developed energy spectrum analysis quantifies the degree of energy dissipation enhancement effect of the TVMD. The proposed design is effective in guaranteeing the target of displacement control, which optimizes the efficiency and quantity of the TVMD for energy dissipation, relieving the energy-dissipation burden on the primary element.

A Novel Negative Stiffness Amplification System Based Isolation Method for the Vibration Control of Underground Structures

“…Therefore, a constitutive model based on the classical Davidenkov method was developed and utilized to simulate the dynamic behavior of the surrounding soil. Details and validation of this model can be found elsewhere [34]; briefly, the tangent shear modulus tt G  for initial loading is Figure 4. Model of soil-underground structure interaction system controlled by conventional isolation system (CIS) and by NSAS combined with an isolator.…”

“…Therefore, a constitutive model based on the classical Davidenkov method was developed and utilized to simulate the dynamic behavior of the surrounding soil. Details and validation of this model can be found elsewhere [34]; briefly, the tangent shear modulus G t+∆t for initial loading is…”

Optimization of inerter system for seismic response control based on a modified genetic algorithm with differential crossover strategy

“…Pietrosanti et al 27 optimized an SDOF structure with a TMDI by various methods and analyzed it in comparison with conventional TMD structures, then found that the TMDI has better performance and robustness in reducing the dynamic response. Chen et al 28 optimized inerter-based structure using an energy-based method considering the interaction between the structure and the soil. Pan and Zhang 29 derived the analytical expressions of the stochastic responses of an SDOF structure with the inerter system.…”