B-spline wavelet boundary element method for three-dimensional problems

Wei, Qi; Xiang, Jiawei

doi:10.1007/s00707-021-03009-1

Cited by 8 publications

(3 citation statements)

References 34 publications

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“…For bearings, the first natural frequency (always excited in almost all the engineering structures) of the flexible bending modal shape of the inner or outer race is the carrier frequency and the frequency of demodulation signals are the fault features. Furthermore, the natural frequency and mode shape are easily obtained by modal analysis using simulation analysis by finite element method (FEM) or other numerical simulation methods [35,36]. Therefore, simulation analysis can be applied to determine the carrier frequencies of mechanical components.…”

Section: Introductionmentioning

confidence: 99%

Simulation-driven bandpass filter in association with an optimal bandwidth to detect faults in axial piston pumps

Liu

Chen

et al. 2023

Meas. Sci. Technol.

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Due to the special working environments of axial piston pumps in engineering, fault features are disrupted by the natural periodic impulses. A finite element method (FEM) simulation-driven bandpass filter (BPF) is provided for detecting bearings. However, the bandwidth of the bandpass filter is designed empirically through human experience with uncertainty. To overcome the associated limitations, an bandwidth optimization strategy of FEM simulation-driven BPF is proposed by using an integrated kurtosis, i.e.,the combination of two kinds of kurtosis indices. The new index is used as a discrimination value for a success-failure algorithm to iteratively determine the optimal bandwidth of the BPF. Finally, compared to the original BPF and its improved version, experimental results of faulty bearings in an axial piston pump verify the fault feature extraction ability for the reciprocating motion machine under heavy impact-induced natural periodic impulses.

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Section: Introductionmentioning

confidence: 99%

Simulation-driven bandpass filter in association with an optimal bandwidth to detect faults in axial piston pumps

Liu

Chen

et al. 2023

Meas. Sci. Technol.

Self Cite

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show abstract

“…The former lacks explicit expression and sufficient regularity, so it's normalize the program. Although the Hermite wavelet has explicit terms, it is in BSWI finite element on numerical approximation [20]. There are four basic computation methods proposed to solve partial differential equations (PDEs), including Galerkin method, finite difference method (FDM), least square method, and finite element method (FEM), etc.…”

Section: Introductionmentioning

confidence: 99%

“…The former lacks explicit expression and sufficient regularity, so it's hard to normalize the program. Although the Hermite wavelet has explicit terms, it is inferior to BSWI finite element on numerical approximation [20].…”

Section: Introductionmentioning

confidence: 99%

A New Numerical Scheme with B-Spine Wavelet on the Interval for Transverse Vibration Problem of the Tethered Deep-Sea Robot

Wang

Xiang

2022

JMSE

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This research is focused on the accurate modeling of a tethered deep-sea robot system with variable-length. Since the flexible umbilical cable is influenced by the surface vessel motion, the ocean current and sea states, etc., its transient response will reduce the deep-sea robot’s stability. Thus, dynamic modeling of the elastic umbilical cable is a crucial issue. In this paper, transverse vibration of the tethered deep-sea robot system can be modelled as a one-dimensional distributed parameter system, a class of partial differential equations with nonhomogeneous boundary conditions theoretically. A new numerical scheme with B-spine wavelet on the interval (BSWI) is used to discretize and transform inhomogeneous partial differential equations into a set of ordinary differential equations and to obtain the dynamic response of the tethered deep-sea robot system with different ocean currents. Compared with conventional methods, BSWI finite element with multiresolution analysis principle can approximate the transverse vibration of the flexible umbilical cable better, and handle boundary conditions more easily. Numerical examples of different cases are analyzed in detail by the discussion of an ADAMS model, and simulation results of the ADAMS model also verify that BSWI finite element method has a desirable performance than other methods.

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The Dual Reciprocal B-Spline Wavelet Boundary Element Method for Non-homogeneous Potential Problems

Wang,

Xiang

2024

Mechanisms and Machine Science

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B-spline wavelet boundary element method for three-dimensional problems

Cited by 8 publications

References 34 publications

Simulation-driven bandpass filter in association with an optimal bandwidth to detect faults in axial piston pumps

Simulation-driven bandpass filter in association with an optimal bandwidth to detect faults in axial piston pumps

A New Numerical Scheme with B-Spine Wavelet on the Interval for Transverse Vibration Problem of the Tethered Deep-Sea Robot

The Dual Reciprocal B-Spline Wavelet Boundary Element Method for Non-homogeneous Potential Problems

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