Download or read book Analytical Solutions for Open Nonshallow Spherical Shell Vibrations written by Gau-Feng Lin and published by . This book was released on 1979 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report is concerned with axisymmetric as well as nonsymmetric vibrations of open nonshallow thin elastic spherical shells. Without employing the usual auxiliary variables for reduction of shell motion equations introduced by Van der Neut and Berry, independent analytical solutions for middle-surface displacements are obtained and explicitly expressed in terms of associated Legendre functions. In order to gain physical insights into the free-vibration characteristics of an open nonshallow shell, theoretical calculations together with asymptotic descriptions are made of natural frequencies and mode shapes of a hemispherical shell with a free edge. Five families of natural frequencies, i.e., low Rayleigh bending, mixed bending-membrane, torsional, bending and membrane frequencies, are found. The corresponding mode shapes exhibit distinctive displacement patterns.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1980 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Structural Dynamics and Vibrations written by and published by . This book was released on 1995 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Journal of the Acoustical Society of America written by and published by . This book was released on with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Axisymmetric Flexural Vibration of Spherical Shells written by Haruo Kunieda and published by . This book was released on 1972 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axisymmetric responses are presented of a nonshallow thin-walled spherical shell on the basis of nonlinear bending theory. An ordinary differential equation with nonlinearity of quadratic as well as cubic terms associated with variable time is derived. The derivation is based on the assumption that the deflection mode is the sum of four Legendre polynomials, and the Galerkin procedure is applied. The equation is solved by asymptotic expansion, and a first approximate solution is adopted. Unstable regions of this solution are discussed.
Download or read book ASME 66 WA APM 21 written by Alvin A. Holston and published by . This book was released on 1966 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Structural Dynamics and Vibration 1995 written by B. Ovunc and published by . This book was released on 1995 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Shock and Vibration Bulletin written by and published by . This book was released on with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Analysis of the Free Vibration of a Shallow Spherical Membrane Shell written by and published by . This book was released on 1978 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The free vibration of a shallow spherical membrane shell is analyzed using the thin-shell theory developed by Kraus. The secular equation giving the lowest resonant frequencies of such a shell is derived. The normal and tangential modal displacement functions corresponding to these resonant frequencies are found for the case when the shallow spherical shell has a free edge. In addition, an approximate secular equation is derived for the shallow spherical membrane shell with a free edge by using the Rayleigh-Ritz method. Suitable approximate modal displacement functions, corresponding to the resonant frequencies that are determined using this approximate secular equation and satisfying the free-edge boundary condition, are found. (Author).
Download or read book Certain Problems in the Theory of Stability of Motion in the Whole written by V. A. Pliss and published by . This book was released on 1958 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Translation written by and published by . This book was released on 1965 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Paper written by and published by . This book was released on 1965 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fluid structure Interaction and Structural Mechanics written by and published by . This book was released on 1995 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research Journal written by University of Roorkee and published by . This book was released on 1969 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
