Discrete analysis method for random vibration of structures subjected to spatially correlated filtered white noises

Purpose To improve the transmission efficiency and reduce the damage to pipes in the hydraulic systems of tunnel boring machine subjected to random vibration, this paper aims to propose a novel dynamic characteristic analysis method that considers random vibration. Design/methodology/approach A fluid-structure interaction motion equation of the pipe is established by using Hamilton’s principle. The finite element method and discrete analysis method of random vibration are used to construct a model of the dynamic behavior of the pipe. Findings The influences of fluid parameters and external excitation parameters on the dynamic characteristics of pipes are analyzed. The experimental results are found to be in good agreement with the simulation results, which demonstrates that the proposed analytical method can provide a theoretical reference for the design and selection of hydraulic pipes subjected to random vibration. Originality/value The proposed method can be regarded as a future calculation method for pipes subjected to random vibration, and the transmission efficiency of the pipe can be improved.

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Discrete analysis method for structural correlation responses

Computers & Structures ◽

10.1016/0045-7949(95)00127-3 ◽

1996 ◽

Vol 58 (1) ◽

pp. 143-153 ◽

Cited By ~ 1

Author(s):

Dongyao Tan

Keyword(s):

Analysis Method ◽

Discrete Analysis ◽

Structural Correlation

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Response Analysis of Secondary Systems With Nonlinear Supports

Journal of Pressure Vessel Technology ◽

10.1115/1.2928790 ◽

1991 ◽

Vol 113 (4) ◽

pp. 524-531 ◽

Cited By ~ 3

Author(s):

T. Igusa ◽

R. Sinha

Keyword(s):

Random Vibration ◽

Natural Frequencies ◽

Hysteresis Loops ◽

Nonlinear Behavior ◽

Equivalent Linearization ◽

Response Analysis ◽

Analysis Method ◽

Secondary System ◽

Secondary Systems ◽

Insight Into

This paper introduces a simplified random vibrations analysis method of linear secondary systems with nonlinear supports. The method separates, as much as possible, the nonlinear analysis of the supports from the linear analysis of the remainder of the secondary system. Equivalent linearization is used to generate response-dependent linear properties of the supports directly from hysteresis loops. These properties are then combined with the properties of the secondary system, and a response analysis is performed using mode combination. The analysis procedure is simpler than standard random vibration methods, and for narrow-band responses, it accurately models nonlinear behavior. In addition, the procedure uses equivalent modal quantities, such as natural frequencies and damping ratios, which provide insight into the effects of the nonlinear supports on the secondary system.

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Pipeline Response to Directionally and Spatially Correlated Seismic Ground Motions

Journal of Pressure Vessel Technology ◽

10.1115/1.2929495 ◽

1993 ◽

Vol 115 (1) ◽

pp. 53-58 ◽

Cited By ~ 14

Author(s):

A. Zerva

Keyword(s):

Spatial Variability ◽

Exponential Decay ◽

Random Vibration ◽

Ground Motions ◽

Large Diameter ◽

Axis Orientation ◽

Spatially Correlated ◽

Stochastic Characteristics

This study analyzes the response of continuous, straight, large diameter pipelines subjected to spatially and directionally correlated seismic ground motions. The stochastic characteristics of the seismic motions of Event 5 recorded at the SMART-1 array in Lotung, Taiwan, are used as input motions in random vibration analyses of the structures. The results indicate that the pipeline response is sensitive to the structure’s axis orientation relative to the directions of the recorded seismic motions and to the degree of exponential decay of the spatial variability.

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Random vibration of vehicle with hysteretic nonlinear suspension under road roughness excitation

Advances in Mechanical Engineering ◽

10.1177/1687814017751222 ◽

2018 ◽

Vol 10 (1) ◽

pp. 168781401775122 ◽

Cited By ~ 2

Author(s):

CR Hua ◽

Y Zhao ◽

ZW Lu ◽

H Ouyang

Keyword(s):

Random Vibration ◽

Ride Comfort ◽

Iteration Scheme ◽

Analysis Method ◽

Dynamic Features ◽

Centre Of Gravity ◽

Working Space ◽

Power Spectral ◽

Road Roughness ◽

Effective Analysis

The analysis of random vibration of a vehicle with hysteretic nonlinear suspension under road roughness excitation is a fundamental part of evaluation of a vehicle’s dynamic features and design of its active suspension system. The effective analysis method of random vibration of a vehicle with hysteretic suspension springs is presented based on the pseudoexcitation method and the equivalent linearisation technique. A stable and efficient iteration scheme is constructed to obtain the equivalent linearised system of the original nonlinear vehicle system. The power spectral density of the vehicle responses (vertical body acceleration, suspension working space and dynamic tyre load) at different speeds and with different nonlinear levels of hysteretic suspension springs are analysed, respectively, by the proposed method. It is concluded that hysteretic nonlinear suspensions influence the vehicle dynamic characteristic significantly; the frequency-weighted root mean square values at the front and rear suspensions and the vehicle’s centre of gravity are reduced greatly with increasing the nonlinear levels of hysteretic suspension springs, resulting in better ride comfort of the vehicle.

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