Abstract

In order to design a comfortable-oriented vehicle suspension structure, the network synthesis method was utilized to transfer the problem into solving a timing robust control problem and determine the structure of “inerter–spring–damper” suspension. Bilinear Matrix Inequality was utilized to obtain the timing transfer function. Then, the transfer function of suspension system can be physically implemented by passive elements such as spring, damper, and inerter. By analyzing the sensitivity and quantum genetic algorithm, the optimized parameters of inerter–spring–damper suspension were determined. A quarter-car model was established. The performance of the inerter–spring–damper suspension was verified under random input. The simulation results manifested that the dynamic performance of the proposed suspension was enhanced in contrast with traditional suspension. The root mean square of vehicle body acceleration decreases by 18.9%. The inerter–spring–damper suspension can inhibit the vertical vibration within the frequency of 1–3 Hz effectively and enhance the performance of ride comfort significantly.

Highlights

  • In order to design a comfortable-oriented vehicle suspension structure, the network synthesis method was utilized to transfer the problem into solving a timing robust control problem and determine the structure of ‘‘inerter–spring–damper’’ suspension

  • Spring and damper are the main components of traditional suspension system

  • RLC (resistor (R), inductor (L), and capacitor (C)) electrical network synthesis theory can be used to research inerter–spring–damper (ISD) mechanical network to improve the performance of mechanical vibration isolation system

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Summary

Introduction

In order to design a comfortable-oriented vehicle suspension structure, the network synthesis method was utilized to transfer the problem into solving a timing robust control problem and determine the structure of ‘‘inerter–spring–damper’’ suspension. Scheibe and Smith[16] obtained the global optimum of riding comfort and handling stability from quarter-car vehicle suspension model via a method of network analysis. Hu and Chen utilized inerter into passive vehicle suspensions and semiactive suspensions.[22,23] They analyzed and optimized the inerter-based isolators based on a ‘‘uni-axial’’ single-degree-of-freedom isolation system.[24] Ming et al.[25] systematically explained the concept, background and characteristics of the inerter and ISD suspension by summarizing its structure types, dynamics, frequency responses, nonlinear characteristics and breakdown phenomena, network synthesis theory and application layout and integrated design. This may limit ISD network into a few fixed structures; we might neglect a slice of good structures

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