Stochastic response analysis for nonlinear vibration systems with adjustable stiffness property under random excitation

AbstractIt is well-known that practical vibro-impact systems are often influenced by random perturbations and external excitation forces, making it challenging to carry out the research of this category of complex systems with non-smooth characteristics. To address this problem, by adequately utilizing the stochastic response analysis approach and performing the stochastic response for the considered non-smooth system with the external excitation force and white noise excitation, a modified conducting process has proposed. Taking the multiple nonlinear parameters, the non-smooth parameters, and the external excitation frequency into consideration, the steady-state stochastic P-bifurcation phenomena of an elastic impact oscillator are discussed. It can be found that the system parameters can make the system stability topology change. The effectiveness of the proposed method is verified and demonstrated by the Monte Carlo (MC) simulation. Consequently, the conclusions show that the process can be applied to stochastic non-autonomous and non-smooth systems.

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Nonstationary response analysis of a nonsymmetric nonlinear multi-degree-of freedom system to nonwhite random excitation.

JSME international journal Ser 3 Vibration control engineering engineering for industry ◽

10.1299/jsmec1988.31.690 ◽

1988 ◽

Vol 31 (4) ◽

pp. 690-697 ◽

Cited By ~ 1

Author(s):

Koji KIMURA ◽

Masaru SAKATA

Keyword(s):

Random Excitation ◽

Degree Of Freedom ◽

Response Analysis ◽

Nonstationary Response

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Response analysis of random base excitation ona magnetic bearing rotor system

MATEC Web of Conferences ◽

10.1051/matecconf/201929304004 ◽

2019 ◽

Vol 293 ◽

pp. 04004

Author(s):

Jinping Chen ◽

Li Zhang ◽

Yanyan Luo ◽

Haining Zhang ◽

Jun Liu

Keyword(s):

Collision Detection ◽

Random Excitation ◽

Magnetic Bearing ◽

Rotor System ◽

Response Analysis ◽

Random Response ◽

Practical Application ◽

External Disturbances ◽

Response Characteristics ◽

Auxiliary Bearing

The magnetic bearing-rotor system is subject to various external disturbances in practical application. Under certain control conditions, the random response characteristics of the magnetic bearing-rotor system are a particular concern. This paper analyzes the response characteristics of base of the magnetic bearing subjected to acceleration random excitation in the horizontal direction. First, the magnetic bearing-rotor system model is deduced. Then, the random response of the rotor under acceleration random excitation is derived. The probability of the collision of the rotor between the auxiliary bearing is calculated and the example is given. The paper conclusion provides a theoretical basis for the collision detection and prediction of the magnetic bearing-rotor system.

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Stochastic Response Analysis and Reliability-Based Design Optimization of Nonlinear Electromechanical Energy Harvesters with Fractional Derivative Elements

ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg ◽

10.1115/1.4049232 ◽

2020 ◽

Author(s):

Ioannis Petromichelakis ◽

Apostolos F. Psaros ◽

Ioannis A. Kougioumtzoglou

Keyword(s):

Fractional Derivative ◽

Design Optimization ◽

Response Analysis ◽

Reliability Based Design Optimization ◽

Stochastic Response ◽

Energy Harvesters ◽

Reliability Based Design ◽

Singular Diffusion ◽

Electromechanical Energy ◽

Definition Of

Abstract A methodology based on the Wiener path integral technique (WPI) is developed for stochastic response determination and reliability-based design optimization of a class of nonlinear electromechanical energy harvesters endowed with fractional derivative elements. In this regard, first, the WPI technique is appropriately adapted and enhanced to account both for the singular diffusion matrix and for the fractional derivative modeling of the capacitance in the coupled electromechanical governing equations. Next, a reliability-based design optimization problem is formulated and solved, in conjunction with the WPI technique, for determining the optimal parameters of the harvester. It is noted that the herein proposed definition of the failure probability constraint is particularly suitable for harvester configurations subject to space limitations. Several numerical examples are included, while comparisons with pertinent Monte Carlo simulation data demonstrate the satisfactory performance of the methodology.

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Stochastic Response of Tension Leg Platform to Wave and Current Forces

Journal of Energy Resources Technology ◽

10.1115/1.3231428 ◽

1989 ◽

Vol 111 (4) ◽

pp. 221-230 ◽

Cited By ~ 5

Author(s):

A. Ertas ◽

J.-H. Lee

Keyword(s):

Constant Current ◽

Response Analysis ◽

Stochastic Dynamic ◽

Superposition Method ◽

Random Waves ◽

Stochastic Response ◽

Tension Leg Platform ◽

Single Degree Of Freedom ◽

Simulation Techniques ◽

Wave Induced

The linear analysis in the frequency domain is presented for the surge motion of a tension leg platform (TLP) in the case of random waves only and random waves with constant current. A single-degree-of-freedom model of a TLP is employed for response. The superposition method, one of the simulation techniques, is applied to random sea wave, and the response analysis of TLP in time is developed with wave velocity and wave acceleration simulations. Wave-induced forces are calculated using the modified Morison equation, which takes into account relative motion. Computational methods for both analyses are developed, and the results of stochastic, dynamic response of the TLP, with and without the presence of current, are presented and compared.

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