Free vibration analysis of an inflated toroidal shell

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 124, Issue 3, 2002, Pages 387-396

  Jha, Akhilesh K ^a   Inman, Daniel J ^a   Plaut, Raymond H ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; CYLINDERS (SHAPES); MATHEMATICAL MODELS; NATURAL FREQUENCIES; PARTIAL DIFFERENTIAL EQUATIONS; SHELLS (STRUCTURES);

INFLATED TOROIDAL SHELLS;

VIBRATIONS (MECHANICAL);

EID: 0036660990     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.1467650     Document Type: Article

References (16)

1. Malone, P. K., and Crawford, L., 1993, “Developing an Inflatable Solar Array,” 7th AIAA/USU Conference on Small Satellites, LPA-93-GW-008, P1J93.
2. Dornheim, M. A., 1999, “Inflatable Structures Taking to Flight,” Aviat. Week Space Technol., January, pp. 60-62.
3. Kordes, E. E., 1960, “Vibration Analysis of Toroidal Shells of Circular Cross Section,” Ph.D. Dissertation, Engineering, Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA.
4. McGill, D. J. M., 1966, “Axis-symmetric Free Oscillations of Thick Toroidal Shells,” Ph.D. Dissertation, Department of Mechanics and Aerospace Engineering, University of Kansas, Lawrence, KS.
5. Kosawada, T., Suzuki, K., and Takahashi, S., 1985, “Free Vibration of Toroidal Shells,” Bull. JSME, 28(243), pp. 2041-2047.
6. Fang, Z., 1992, “Free Vibration of Fluid-Filled Toroidal Shells,” J. Sound Vib., 155(2), pp. 343-352.
7. Leung, A. Y. T., and Kwok, N. T. C., 1994, “Free Vibration Analysis of a Toroidal Shell,” Thin-Walled Struct., 18, pp. 317-332.
8. Jordan, P. F., 1966, “Vibration and Buckling of Pressurized Torus Shells,” 4th Aerospace Science Meeting, Los Angeles, California, AIAA Paper No. 66445.
9. Saigal, S., Yang, T. Y., Kim, H. W., and Soedel, W., 1986, “Free Vibration of a Tire as a Toroidal Membrane,” J. Sound Vib., 107(1), pp. 71-82.
10. Plaut, R. H., Goh, J. K. S., Kigudde, M., and Hammerand, D. C., 2000, “Shell Analysis of an Inflatable Arch Subjected to Snow and Wind Loading,” Int. J. Solids Struct., 37, pp. 4275-4288.
11. Liepins, A. A., 1965, “Free Vibrations of Prestressed Toroidal Membrane,” AIAA J., 3(10), pp. 1924-1933.
12. Lewis, J. A., 2000, “Finite Element Modeling and Active Control of an Inflated Torus Using Piezoelectric Devices,” MS Thesis, Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA.
13. Sanders, J. L., 1959, “An Improved First Approximation Theory for Thin Shells,” NASA Report 24, June, Washington, D.C.
14. Budiansky, B., 1968, “Notes on Nonlinear Shell Theory,” ASME J. Appl. Mech., June, pp. 393-401, 35, No. 2.
15. Soedel, W., 1986, Vibrations of Shells and Plates, Marcel Dekker, New York.
16. Leissa, A. W., 1973, Vibration of Shells, NASA SP-288, Washington, D.C.