Indirect estimates of flexural strain in concrete sidewalks induced by vertical movement

1999 ◽  
Vol 26 (3) ◽  
pp. 312-323
Author(s):  
B Rajani ◽  
C Zhan
Keyword(s):  
Fourier Series ◽  
Numerical Methods ◽  
Vertical Movement ◽  
Surface Elevation ◽  
Strain Gauges ◽  
Monthly Basis ◽  
Polynomial Fit ◽  
Fourier Series Method ◽  
Elevation Data ◽  
Spline Polynomial

This paper examines different numerical methods to estimate flexural strain from surface elevation measurements on concrete sidewalks. Surface elevations, along a typical concrete sidewalk cross section, were monitored on a monthly basis as part of a study to determine the cracking mechanism of concrete sidewalks. These measurements were carried out in Calgary, Edmonton, and Camrose, Alberta, between 1993 and mid-1995. Finite difference, cubic spline, polynomial fit, and Fourier series methods of analyses are described for an indirect estimation of flexural strains in sidewalks. The sensitivity of these methods to measurement error is discussed. The Fourier series method is found to be the best procedure to analyse sidewalk surface elevation data for flexural strains estimates. The numerical methods to indirectly determine strain are best suited for those circumstances where installation of strain gauges is difficult, expensive, or impossible.Key words: concrete sidewalks, indirect estimates of flexural strain.

scholarly journals 1-D heat conduction in a fractal medium: A solution by the local fractional Fourier series method

2013 ◽  
Vol 17 (3) ◽  
pp. 953-956 ◽  
Author(s):  
Yuzhu Zhang ◽  
Aimin Yang ◽  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Fourier Series ◽  
Heat Conduction ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Series Method ◽  
Heat Transfer Mechanism ◽  
Basic Properties ◽  
Fractal Medium ◽  
Fourier Series Method

In this communication 1-D heat conduction in a fractal medium is solved by the local fractional Fourier series method. The solution developed allows relating the basic properties of the fractal medium to the local heat transfer mechanism.

Development of the Low Cost Harmonic and Power Instrument by Using Fourier Series Method with Microcontroller

2014 ◽  
Vol 492 ◽  
pp. 519-525
Author(s):  
Napat Watjanatepin ◽  
Chaiyant Boonmee ◽  
Yutthana Kantaphayao
Keyword(s):  
Fourier Series ◽  
Power Factor ◽  
Measurement Errors ◽  
Single Phase ◽  
Low Cost ◽  
Electrical Power ◽  
Quality Measurement ◽  
Series Method ◽  
Electrical Parameters ◽  
Fourier Series Method

The objective of this paper is to present the application of microcontroller dsPIC30F6012A to measure the harmonics current and electrical power by using the Fourier series method to calculate the electrical parameters. This design is to develop the low cost harmonics instrument and to focus on working with the single phase AC system. The prototype was then developed to measure the harmonics current and power factor, and the result was compared with the standard instrument. The result is that most electrical parameters have the measurement errors of less than 4.0%. However, this idea could be developed so that it applies in the related work with the power quality measurement.

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