Network Synthesis Design Method of Nonlinear Suspension System with Mem-Inerter

Nie, Jiamei; Chen, Liuming; Huang, Xiaorong; Wei, Hao; Zhang, Xiaoliang

doi:10.1007/s42417-022-00751-1

Cited by 5 publications

(1 citation statement)

References 21 publications

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“…All three elements are nonlinear and can be identified by their pinched hysteresis loop in the momentum versus velocity plane, force versus velocity plane, and force versus displacement plane, respectively. A potential application of mechanical memory elements is in vibration isolation systems, since they can naturally self-adjust their inherent parameters according to load and excitation [23]. Over the past century, a significant amount of research has been devoted to describing and analyzing conventional mechanical systems via Lagrangian and Hamiltonian methods [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

An Integrated Lagrangian Modeling Method for Mechanical Systems with Memory Elements

Nie,

Liu,

Zhang

2024

Machines

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Mechanical memory elements cannot be accurately modeled using the Lagrangian method in the classical sense, since these elements are nonconservative in the plane of their non-constitutive relationships, and the system differential equations are not self-adjoint and therefore do not allow a Lagrangian formulation. To overcome this problem, the integrated Lagrangian modeling method is introduced, in which the associated conventional energies in the system are replaced by the corresponding memory state functions of the memory elements. An example, a vehicle shimmy system equipped with fluid mem-inerters, is presented to verify the improvement of modeling accuracy of mechanical systems with memory elements via the integrated Lagrangian method. The simulation results show that under pulse and random excitation, using the Lagrangian method to model the system, the values of system response indicators exhibit significant errors ranging from 5.17% to 24.54% compared with the values obtained by the integrated Lagrangian method, namely, the accurate values. In addition, the influencing factors of the error and are discussed and the fractional-order memory elements and their modeling are also briefly generalized.

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