Accession Number:

ADA126414

Title:

The Use of Matrix Displacement Method for Vibrational Analysis of Structures.

Descriptive Note:

Interim rept.,

Corporate Author:

CARNEGIE-MELLON UNIV PITTSBURGH PA ROBOTICS INST

Personal Author(s):

Report Date:

1981-05-01

Pagination or Media Count:

37.0

Abstract:

A study of the matrix displacement method for modeling the vibrations of structures is presented in this report. The model can analyze both the free and forced vibrations of a structure. Static loading on a structure is treated as a special case of the forced vibration analysis. A brief review of the Finite Element Method and its present use is first given. This is followed by a discussion of the methodology of the matrix displacement approach and a description of the specific model used. Examples of the use of the model to analyze the frequencies and mode shapes of the free and forced response of a beam structure and the static deflections of a beam structure are shown and compared with the closed form solutions. Finally, ways of extending the model to a more complicated structure, a turbine blade, are discussed. Conclusions are then drawn.

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE