Reliability analysis by numerical integration and curve fitting
β Scribed by Kai Shun Li; Peter Lumb
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 412 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0167-4730
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π SIMILAR VOLUMES
A method that fits a least squares sine curve to both point and averaged time series data is described. The method includes a full regression analysis and extends the current "cosinor" approach. Developments include estimation of the linear trend and fitting secondary wave forms.
Numerical integration required during Fourier integral analysis is discussed. For the case of a long and prismatic elastic medium subject to three-dimensional loads applied at the surface (e.g. live load response of buried structures), the complexity of inverse integrals depends on the relative magn
A scheme for automatic numerical integration is presented, It uses the change of variable x = 1 +(2/'n-){[I + z2)]z%Ii~~\_arccos z} to transform the integral to be computed, f~f(x)dx. into (16/37r)f' f(xXl-z2)\/ii 7~dz, which is approximated by successive n-points Gauss-Chebyshev quadrature formulas