Source of Abstract (Subfile): AIAA/TIS Descriptors: ♦BIOLOGICAL MODELS (MATHEMATICS); ♦ELECTROMAGNETIC ABSORPTION; ♦ENERGY DISTRIBUTION; ♦HUMAN BODY; ♦METHOD OF MOMENTS; ♦RADIATION DOSAGE; ♦THERMALIZATION (ENERGY ABSORPTION); BIOLOGICAL EFFECTS; ELECTROMAGNETIC RADIATION; INTEGRAL EQUATIONS; PHYSIOLOGICAL EFFECTS; RADIATION EFFECTS; RADIOBIOLOGY; RATES (PER TIME); SPATIAL RESOLUTION Subject Classification: 7552 Aerospace Medicine (1975-) The modal equations. (for linear structural dynamics). ANUTA, A. E., JR. (North Dakota, University, G<and Forks, ND) Computers and Structures (ISSN 0045-7949), vol. 18, no. 6, 1984, p. 955-962. Research supported by the University of North Dakota. 8 Refs. Language: E ng1ish. Country of Origin: United States. Country of Publication: United Kingdom Document Type: JOURNAL ARTICLE Most documents available from AIAA Technical Library J o u r n a 1 A n n o u n c e m e n t: IA A8420 For linear structural dynamics problems, an application of the minimizing properties of calculus to Rayleigh's quotient leads to the model equations of the system. The modal equations, which are previously undefined in the literature, are a set of simultaneous cubic equations with constant coefficients. They can be solved by means of a converging iteration scheme to obtain all of the mode shapes. Eah mode shape can be successively substituted back into Rayleigh's quotient to obtain the corresponding natural frequency. It is therefore possible to determine all of the mode shapes and natural frequencies of a system without developing or solving the characteristic polynomial; there are some significant advantages to this approach. (Author) Source of Abstract (Subfile): AIAA/TIS Descriptors: ♦CUBIC EQUATIONS; ♦DYNAMIC STRUCTURAL ANALYSIS; ♦FREE VIBRATION; ♦STRUCTURAL VIBRATION; ♦VIBRATION MODE; COMPUTER PROGRAMS; ITERATION; KINETIC ENERGY; LINEAR VIBRATION Subject Classification: 7539 Structural Mechanics (1975-) A TWT amplifier with a linear power transfer characteristic and improved efficiency. KOSMAHL, H. G. (NASA, Lewis Research Center, Cleveland, OH); PETERSON, J. C. (Hughes Aircraft Co., Torrance, CA) National Aeronautics and Space Administration. Lewis Research Center, Cleveland, Ohio. Corp. Sou r c e Code; ND315753 IN: Communication Satellite Systems Conference, 10th, Orlando, FL, March 19-22, 1984, Technical Papers. New York, American Institute of Aeronautics and Astronautics, 1984, p. 488-492. Report No.: AIAA PAPER 84-0762 Language: Eng1ish.
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