Year 2011,
Volume: 14 Issue: 1, - , 21.04.2011
Abstract
In this study, approximate analytical solution for the dynamic response of composite sandwich beams subjected to moving mass is presented. Using modal superposition, the equation of motion for the beam is derived in matrix form. Since coefficients of the matrix equation of motion are time-dependent, Newmark's method is employed for numerical solution. Effects of the lamina thickness and the fiber orientation on the beam deflection and the contact force between the beam and the mass are studied.
Keywords
References
- Fryba, L., 1972, Vibration of Solids and Structures under Moving Loads, Noordhoff International, Groningen, the Netherlands
- Ting, E.C., Genin, J., Ginsberg, J.H., 1974, A General Algorithm for Moving Mass Problem, Journal of Sound and Vibration, 33, 49-58
- Stanisic, M.M., 1985, On a New theory of the Dynamic Behavior of the Structures Carrying Moving Masses, Ingenieur-Archiv, 55, 176-185
- Sadiku, S., Leipholz, H.H.E., 1987, On the Dynamics of Elastic Systems with Moving Concentrated Masses, Ingenieur-Archiv, 57, 223- 242
- Akin, J.E., Mofid, M., 1989, Numerical Solution for the Response of Beams with Moving Mass, ASCE Journal of Structural Engineering, 115, 120- 131
- Lee, H.P., 1996, Dynamic Response of a Beam with a Moving Mass, Journal of Sound and Vibration, 191, 289-294
- Lee, U., 1998, Separation between the Flexible Structure and the Moving Mass Sliding on It, Journal of Sound and Vibration, 209, 867-877
- Wu, J.J., Whittaker, A.R., Cartmell, M.P., 2001, Dynamic Responses of Structures to Moving Bodies Combined Finite Element and Analytical Methods, International Journal of Mechanical Sciences, 43, 2555-2579
- Bowe, C.J., Mullarkey, T.P., 2008, Unsprung Wheel-Beam Interactions using Modal and Finite Element Models, Advances In Engineering Software, 39, 911-922
- Bilello, C., Bergman, L.A., Kuchma, D., 2004, Experimental Investigation of a Small-Scale Bridge Model under a Moving Mass, ASCE Journal of Structural Engineering, 130, 799-804
- Reddy, J.N., Phan, N.D., 1985, Stability and Vibration of Isotropic, Orthotropic and Laminated Plates according to a Higher-Order Shear Deformation Theory, Journal of Sound and Vibration, 98, 157-170
- Suresh, J.K., Venkatesan, C., 1990, Structural Dynamic Analysis of Composite Beams, Journal of Sound and Vibration, 143, 503-519
- Hamada, A., 1995, Vibration and Damping Analysis of Beams with Composite Coats, Composite Structures, 32, 33-38
- Banerjee, J.R., 1998, Free Vibration of Axially Loaded Composite Timoshenko Beams using the Dynamic Stiffness Matrix Method, Computers & Structures, 69, 197-208
- Bassiouni, A.S., Gad-Elrab, R.M., Elmahdy, T.H., 1999, Dynamic Analysis for Laminated Composite Beams, Composite Structures, 44, 81-87
- Lee, S.Y., Wooh, S.C., 2004, Finite Element Vibration Analysis of Composite Box Structures using the High Order Plate Theory, Journal of Sound and Vibration, 277, 801-814
- Zhen, W., Wanji, C., 2008, An Assessment of Several Displacement-Based Theories for the Vibration and Stability Analysis of Laminated Composite and Sandwich Beams, Composite Structures, 84, 337-349
- Kadivar, M.H., Mohebpour, S.R., 1998, Finite Element Dynamic Analysis of Unsymmetric Composite Laminated Beams with Shear Effect and Rotary Inertia under the Action of Moving Loads, Finite Elements In Analysis and Design, 29, 259- 273
- Zibdeh, H.S., Abu-Hilal, M., 2003, Stochastic Vibration of Laminated Composite Coated Beam Traversed by a Random Moving Load, Engineering Structures, 25, 397-404
- Lee, S.Y., Yhim, S.S., 2004, Dynamic Analysis of Composite Plates Subjected to Multi-Moving Loads based on a Third Order Theory, International Journal of Solids and Structures, 41, 4457-4472
- Kahya, V., Mosallam, A.S., “Kompozit Sandviç Kirişlerin Hareketli Yük Etkisi Altında Dinamik Davranışı”, TUMTMK XVI. Ulusal Mekanik Kongresi, 22-26 Haziran 2009, Kayseri-Türkiye, 739-749
Year 2011,
Volume: 14 Issue: 1, - , 21.04.2011
Abstract
Bu çalışmada, hareketli kütle etkisi altındaki kompozit sandviç kirişlerin dinamik davranışı için yaklaşık bir analitik çözüm sunulmuştur. Modal süperpozisyon kullanılarak kiriş için hareket denklemi matris formda elde edilmiştir. Bu hareket denkleminin katsayıları zamana bağlı olduğundan, Newmark metodu kullanılarak sayısal çözüm yapılmıştır. Tabaka yüksekliği ve lif doğrultularının, kiriş çökmesi ve hareketli kütle ile kiriş arasında meydana gelen değme kuvveti üzerindeki etkileri incelenmiştir
References
- Fryba, L., 1972, Vibration of Solids and Structures under Moving Loads, Noordhoff International, Groningen, the Netherlands
- Ting, E.C., Genin, J., Ginsberg, J.H., 1974, A General Algorithm for Moving Mass Problem, Journal of Sound and Vibration, 33, 49-58
- Stanisic, M.M., 1985, On a New theory of the Dynamic Behavior of the Structures Carrying Moving Masses, Ingenieur-Archiv, 55, 176-185
- Sadiku, S., Leipholz, H.H.E., 1987, On the Dynamics of Elastic Systems with Moving Concentrated Masses, Ingenieur-Archiv, 57, 223- 242
- Akin, J.E., Mofid, M., 1989, Numerical Solution for the Response of Beams with Moving Mass, ASCE Journal of Structural Engineering, 115, 120- 131
- Lee, H.P., 1996, Dynamic Response of a Beam with a Moving Mass, Journal of Sound and Vibration, 191, 289-294
- Lee, U., 1998, Separation between the Flexible Structure and the Moving Mass Sliding on It, Journal of Sound and Vibration, 209, 867-877
- Wu, J.J., Whittaker, A.R., Cartmell, M.P., 2001, Dynamic Responses of Structures to Moving Bodies Combined Finite Element and Analytical Methods, International Journal of Mechanical Sciences, 43, 2555-2579
- Bowe, C.J., Mullarkey, T.P., 2008, Unsprung Wheel-Beam Interactions using Modal and Finite Element Models, Advances In Engineering Software, 39, 911-922
- Bilello, C., Bergman, L.A., Kuchma, D., 2004, Experimental Investigation of a Small-Scale Bridge Model under a Moving Mass, ASCE Journal of Structural Engineering, 130, 799-804
- Reddy, J.N., Phan, N.D., 1985, Stability and Vibration of Isotropic, Orthotropic and Laminated Plates according to a Higher-Order Shear Deformation Theory, Journal of Sound and Vibration, 98, 157-170
- Suresh, J.K., Venkatesan, C., 1990, Structural Dynamic Analysis of Composite Beams, Journal of Sound and Vibration, 143, 503-519
- Hamada, A., 1995, Vibration and Damping Analysis of Beams with Composite Coats, Composite Structures, 32, 33-38
- Banerjee, J.R., 1998, Free Vibration of Axially Loaded Composite Timoshenko Beams using the Dynamic Stiffness Matrix Method, Computers & Structures, 69, 197-208
- Bassiouni, A.S., Gad-Elrab, R.M., Elmahdy, T.H., 1999, Dynamic Analysis for Laminated Composite Beams, Composite Structures, 44, 81-87
- Lee, S.Y., Wooh, S.C., 2004, Finite Element Vibration Analysis of Composite Box Structures using the High Order Plate Theory, Journal of Sound and Vibration, 277, 801-814
- Zhen, W., Wanji, C., 2008, An Assessment of Several Displacement-Based Theories for the Vibration and Stability Analysis of Laminated Composite and Sandwich Beams, Composite Structures, 84, 337-349
- Kadivar, M.H., Mohebpour, S.R., 1998, Finite Element Dynamic Analysis of Unsymmetric Composite Laminated Beams with Shear Effect and Rotary Inertia under the Action of Moving Loads, Finite Elements In Analysis and Design, 29, 259- 273
- Zibdeh, H.S., Abu-Hilal, M., 2003, Stochastic Vibration of Laminated Composite Coated Beam Traversed by a Random Moving Load, Engineering Structures, 25, 397-404
- Lee, S.Y., Yhim, S.S., 2004, Dynamic Analysis of Composite Plates Subjected to Multi-Moving Loads based on a Third Order Theory, International Journal of Solids and Structures, 41, 4457-4472
- Kahya, V., Mosallam, A.S., “Kompozit Sandviç Kirişlerin Hareketli Yük Etkisi Altında Dinamik Davranışı”, TUMTMK XVI. Ulusal Mekanik Kongresi, 22-26 Haziran 2009, Kayseri-Türkiye, 739-749
There are 21 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | April 21, 2011 |
| Submission Date | April 20, 2011 |
| Published in Issue | Year 2011Volume: 14 Issue: 1 |