A stochastic analysis method of transient responses using harmonic wavelets, Part 1: Time-invariant structural systems

Ultrasonic testing analysis is a crucial scientific component during the process and interpretation of the ultrasonic detection signal. Focusing on the ultrasonic testing characteristics, the time-invariant spectral analysis method cannot meet the processing requirements of the detection signal fully. Thus, S transform, the time-varying analysis method, was introduced into the ultrasonic testing data processing of the concrete structure. The acoustic wave phase velocity was derived based on the spectrum analysis, and the S transform time-frequency analysis method was established. Finally, based on the method of concrete experimental data set, studies show that the frequency energy spectrum with S transform can realize flexible and effective identification of defects in the concrete structure. Definitely, this analysis method can significantly improve the resolution and practicality of ultrasonic testing.

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Study on Forecasting the Stock Market Trend Based on Stochastic Analysis Method

International Journal of Business and Management ◽

10.5539/ijbm.v4n6p163 ◽

2009 ◽

Vol 4 (6) ◽

Cited By ~ 3

Author(s):

Deju Zhang ◽

Xiaomin Zhang

Keyword(s):

Stock Market ◽

Stochastic Analysis ◽

Analysis Method

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Application of Stochastic Analysis Method in Materials Science

Advances in Applied Mathematics ◽

10.12677/aam.2020.911222 ◽

2020 ◽

Vol 09 (11) ◽

pp. 1925-1933

Author(s):

岩冯

Keyword(s):

Stochastic Analysis ◽

Materials Science ◽

Analysis Method

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Study on Random Analysis Method and its Application to Structures

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.183-185.734 ◽

2011 ◽

Vol 183-185 ◽

pp. 734-738

Author(s):

Lin Cong Zhou ◽

Yi Feng Zheng ◽

Jian Hui Qiu

Keyword(s):

Structural Design ◽

Concrete Beam ◽

Sampling Method ◽

Latin Hypercube Sampling ◽

Structural Systems ◽

Discretization Method ◽

Random Response ◽

Analysis Method ◽

Homogeneous Random Field ◽

Fiber Element

The evaluation of the reliability of structural systems is of extreme importance in structural design, mainly when the variables are random. A method is presented to efficiently assess the random response of stochastic structures. The article uses two-level sampling method to partial fiber element. First, the homogeneous random field of concrete and rebar can be created by modified Latin-hypercube sampling. Then section discretization method is adopted to assign fiber random variables of concrete section fiber. The algorithm is then used to analyze the random response of a concrete beam, and the result proves that the method is efficient.

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