중첩법을 이용한 외팔형 직사각형평판의 횡진동해석

Abstract

평판에 있어 면에 수직한 방향의 횡진동해석에 대하여 네 변이 모두 단순지지인 경우와 어느 한 맞변이 단순지지인 경우를 제외한 기타의 경계조건의 경우에는 고유진동수 및 진동파형을 구하는 일이 일반적으로 용이하지 않다.

본 논문에서는 평판의 모든 경계조건에 걸쳐 정확히 지배방정식을 만족시키고, 수렴이 빠르고, 원하는 정확한 급수해를 얻을 수 있는 중첩법을 이용하여, 외팔형 직사각평판에 관한 정밀진동해석을 수행하였고, 그 계산결과를 국내, 국외에서 제공된 주요 종횡비에 대 한 자료와 비교 검토해 본 결과 잘 일치하고 있음을 확인 하였고, 또한 충격가진을 이용한 실?瘟嘯解た? 이론값를 비교, 검토한 결과 잘 일치함을 확인하였다. 종횡비(a/2b) 1/3∼3의 범위에서 주요한 값 11개의 값에 대한 무차원화된 고유값을 9차까지 구하여 정리하여 표로 정리하였다.

It is well known that some difficulties have been encountered when attempting to analyze the. vibration of plates that do not have at least one pair of opposite edges simply supported. But the Superposition Method provides solutions which satisfy the governing equation exactly throughout the entire domain of the plate.

In this paper, the superposition method is utilized to analyze the free vibration frequencies of cantilever rectangular plates. The method is found to work extremely well and excellent agreement is obtained when comparison is made between computed results and earlier reliable published data. And, it is well agreement between theory and experiment. Accurate eignvalues are tabulated for a wide range of plate geometries(value of aspect raito vary from 1/3 to 3).

It is well known that some difficulties have been encountered when attempting to analyze the. vibration of plates that do not have at least one pair of opposite edges simply supported. But the Superposition Method provides solutions which satisfy the governing equation exactly throughout the entire domain of the plate.

In this paper, the superposition method is utilized to analyze the free vibration frequencies of cantilever rectangular plates. The method is found to work extremely well and excellent agreement is obtained when comparison is made between computed results and earlier reliable published data. And, it is well agreement between theory and experiment. Accurate eignvalues are tabulated for a wide range of plate geometries(value of aspect raito vary from 1/3 to 3).