A modified Fourier series method is proposed for the torsion analysis of prismatic bars with multiply connected cross sections. The key feature in the present approach is the combined use of polynomials and Fourier series solutions unlike in the existing approaches which use the Fourier series only.
โฆ LIBER โฆ
Pure torsion of prismatic beams with multiply connected cross sections
โ Scribed by I. V. Goncharyuk; V. L. Rvachev
- Book ID
- 104995405
- Publisher
- Springer US
- Year
- 1971
- Tongue
- English
- Weight
- 237 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1573-8582
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An asymptotic solution is obtained for the problem of maximizing the torsional rigidity of elastic, multiply-connected cylindrical bars for a given area of cross-section. The shapes of the inner contours of the multiply-connected cross-section are specified while the outer contour is determined as a