17권 4호 108-117 2009 [한국자동차공학회 논문집 ]
| 제목 | Rayleigh 방법과 Ritz 방법 |
|---|---|
| 분야 | 진동ㆍ소음 |
| 언어 | Korean |
| 저자 | 박보용(인천대학교) |
| Key Words | Rayleigh's quotient(레일리 계수), Rayleigh-Ritz method(레일리-리츠 방법), Vis viva(living forces),Energy(에너지), Natural frequency(고유진동수), Mode shape(모드형), Variational calculus(변분법), Admissiblefunction(허용함수), |
| 초록 | Leissa claimed in his article that the Rayleigh method is not the same as the Ritz method for determining natural frequencies and its corresponding mode shapes and contended that Rayleigh's name should not be attached to the method. The present article examines the methods in viewpoint of admissible functions and its minimization process, and of the historical developments. It concludes that Leissa's assertion is relevant, although Rayleigh did apply a conceptual theory systematized from the Lagrange method, and given 38 years earlier than Ritz's ‘masterly exposition of theory’. |
| 원문(PDF) | 다운로드 |