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Mixed finite-difference scheme for free-vibration analysis of noncircular cylinders / by Ahmed K. Noor and Wendell B. Stephens.
- Format:
- Book
- Government document
- Author/Creator:
- Noor, Ahmed K., author.
- Stephens, Wendell B., author.
- Series:
- NASA technical note ; D-7107.
- NASA/TN ; D-7107
- Language:
- English
- Subjects (All):
- Cylinders--Vibration--Mathematical models.
- Cylinders.
- Finite differences.
- Physical Description:
- 1 online resource (28 pages) : illustrations.
- Place of Publication:
- Washington, D.C. : National Aeronautics and Space Administration, February 1973.
- Summary:
- A mixed finite-difference scheme is presented for the free-vibration analysis of simply supported closed noncircular cylindrical shells. The problem is formulated in terms of eight first-order differential equations in the circumferential coordinate which possess a symmetric coefficient matrix and are free of the derivatives of the elastic and geometric characteristics of the shell. In the finite-difference discretization, two interlacing grids are used for the different fundamental unknowns in such a way as to avoid averaging in the difference-quotient expressions used for the first derivative. The resulting finite-difference equations are symmetric. The inverse-power method is used for obtaining the eigenvalues and eigenvectors.
- Notes:
- "February 1973."
- Includes bibliographical references (pages 22-23).
- Description based on online resource, PDF version; title from title page (NASA, viewed on June 9, 2021).
- OCLC:
- 23660922
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