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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.58 No.5
- 발행연도
- 2016.1
- 수록면
- 847 - 868 (22page)
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초록· 키워드
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In this study, the free vibration analysis of axially moving beams is investigated according to Reddy-Bickford beam theory (RBT) by using dynamic stiffness method (DSM) and differential transform method (DTM). First of all, the governing differential equations of motion in free vibration are derived by using Hamilton’s principle. The nondimensionalised multiplication factors for axial speed and axial tensile force are used to investigate their effects on natural frequencies. The natural frequencies are calculated by solving differential equations using analytical method (ANM). After the ANM solution, the governing equations of motion of axially moving Reddy-Bickford beams are solved by using DTM which is based on Finite Taylor Series. Besides DTM, DSM is used to obtain natural frequencies of moving Reddy-Bickford beams. DSM solution is performed via Wittrick-Williams algorithm. For different boundary conditions, the first three natural frequencies that calculated by using DTM and DSM are tabulated in tables and are compared with the results of ANM where a very good proximity is observed. The first three mode shapes and normalised bending moment diagrams are presented in figures.
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참고문헌 (36)
참고문헌 신청
Arikoglu, A. / 2010 / Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method / Compos. Struct 92:3031~3039
Bağdatli, S.M. / 2011 / Dynamics of axially accelerating beams with an intermediate support / J. Vib. Acoust 133:1~10
Banerjee, J.R. / 1997 / Dynamic stiffness for structural elements: A general approach / Comput. Struct 63:101~103
Banerjee, J.R. / 2007 / Dynamic stiffness matrix development and free vibration analysis of a moving beam / J. Sound Vib 303:135~143
Banerjee, J.R. / 2012 / Free vibration of beams carrying spring-mass systems-A dynamic stiffness approach / Comput. Struct 104-105:21~26
Bağdatli, S.M. / 2011 / Dynamics of axially accelerating beams with an intermediate support / J. Vib. Acoust 133:1~10
Banerjee, J.R. / 1997 / Dynamic stiffness for structural elements: A general approach / Comput. Struct 63:101~103
Banerjee, J.R. / 2007 / Dynamic stiffness matrix development and free vibration analysis of a moving beam / J. Sound Vib 303:135~143
Banerjee, J.R. / 2012 / Free vibration of beams carrying spring-mass systems-A dynamic stiffness approach / Comput. Struct 104-105:21~26
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