A New Algorithm Development on the Frequency Analysis

POSTER

Abstract

A numerical algorithm to analyze the frequencies of beam structures is developed based on mode synthesis method. The physical domains are assumed to be composed of group of sub-domains or components that are interconnected with each other. After reducing the degrees of freedom of each element by means of the new algorithm, natural mode shapes of each of the components are found. The dynamic characteristics obtained are combined into a complete domain. The effects of dividing for the domain and the number of modes adopted in the interface region are also taken into consideration. The results are compared to those from the commercial program that can carry out modal analysis such ANSYS. The proposed algorithm is applied to the domains with a large number of sub-domains, and the results show numerical efficiency over the classical modal analysis.

Authors

  • Richard Kyung

    Stuyvesant HS, CRG

  • Samantha Lacombe

    Tarleton State University, Lee College, Highland Park High School, University of Pittsburgh, Wards and Seargent Welch, Davidson College, University of Texas at Arlington, University of Texas At Arlington, Instituto de Fisica, Universidade de Sao Paulo, Texas A\&M University, none, University of Central Arkansas, Department of Physics, Lamar University, Stuyvesant HS, UTEP, University of North Texas, University of Houston Clear Lake, The University of Texas at Dallas, Abilene Christian University, Albert Einstein Institute, Syracuse University, Albert Einstein Institute, Baylor University Department of Physics, NASA Ames Research Center, University of Central Arkansas, University of North Dakota, University of Kentucky, United States Naval Academy, University of Dallas, Advisor, Mentor, Texas A\&M University - Commerce, The university of Texas at El Paso, University of Texas Arlington