Free vibration analysis of thin cylindrical shells by the differential quadrature method

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Journal of Pressure Vessel Technology

DOI:https://doi.org/10.1115/1.2842156· OSTI ID:197581

Bert, C W; Malik, M ^[1]

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1. Univ. of Oklahoma, Norman, OK (United States). School of Aerospace and Mechanical Engineering

By introducing the application of the differential quadrature method (DQM) to the dynamic analysis of thin circular cylindrical shells, the work of this paper makes a step forward in furthering the potential of the DQM in the area of structural mechanics. The problem is identified by an eighth-order system of coupled partial differential equations in terms of the three displacement components. The proposed differential quadrature solution is semi-analytical in that Fluegge`s representation of the displacement components by trigonometric sine and cosine functions of the circumferential coordinate is employed. The results of the differential quadrature solutions of the natural frequencies of various shell cases are compared and shown to be in excellent agreement with the published, and also some recalculated, results of exact solutions for freely supported, clamped-clamped, clamped-free, and free-free shells. Comparisons are also made with the published experimental data of clamped-clamped and clamped-free shells.

• Sponsoring Organization: USDOE
• OSTI ID: 197581
• Journal Information: Journal of Pressure Vessel Technology, Journal Name: Journal of Pressure Vessel Technology Journal Issue: 1 Vol. 118; ISSN JPVTAS; ISSN 0094-9930
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
CYLINDRICAL CONFIGURATION
MECHANICAL STRUCTURES
MECHANICAL VIBRATIONS
NUMERICAL SOLUTION
QUADRATURES
SHELLS
THEORETICAL DATA