International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 495-508 (2004) No AccessERROR ANALYSIS OF A HYBRID BEAM ELEMENT WITH TIMOSHENKO STIFFNESS AND CLASSICAL MASSP. JAFARALI, LALITHA CHATTOPADHYAY, G. PRATHAP and S. RAJENDRANP. JAFARALICSIR Centre for Mathematical Modelling and Computer Simulation, Bangalore 560 037, India Search for more papers by this author , LALITHA CHATTOPADHYAYStructures Division, National Aerospace Laboratories, Bangalore 560 017, India Search for more papers by this author , G. PRATHAPCSIR Centre for Mathematical Modelling and Computer Simulation, Bangalore 560 037, India Search for more papers by this author and S. RAJENDRANSchool of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639 798, Singapore Search for more papers by this author https://doi.org/10.1142/S1465876304002538Cited by:2 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractWe review critically the performance of an ingeniously designed hybrid beam element that uses a stiffness matrix based on Timoshenko theory but retains the mass matrix from classical beam theory. This clever engineering trick gives seemingly very accurate results in thin beam situations. However, the physics of thick beam behavior is consequently misrepresented. A careful study reveals that cancellation of errors is responsible for the apparent "accurate" performance. References L. Rayleigh , Theory of sound , 2nd edn. ( Macmillan , London , 1894 ) . Google ScholarS. P. Timoshenko, Philosophical Magazine 41, 744 (1921). Crossref, Google ScholarS. P. Timoshenko, Philosophical Magazine 43, 125 (1922). Crossref, Google Scholar W. C. Hurty and M. F. Rubinstein , Dynamics of structures ( Prentice Hall, inc , New Jersey, Englewood cliffs , 1964 ) . Google Scholar D. G. Fertis , Dynamics and vibration of structures ( McGraw-Hill book company , New York , 1973 ) . Google Scholar R. W. Clough and J. Penzier , Dynamics af structures ( McGraw-Hill book company , New York , 1975 ) . Google Scholar C. L. Dym and I. H. Shames , Solid Mechanics, A variational approach , Series is in advanced Engineering ( McGraw-Hill book company , New York , 1973 ) . Google ScholarG. R. Bhashyam and G. Prathap, Journal of Sound and Vibration 76(3), 407 (1981). Crossref, Google Scholar G. Prathap , The finite element method in structural mechanics ( Kluwer Academic Publishers , Dordrecht , 1993 ) . Crossref, Google Scholar G. Prathap and S. Rajendran, "Simple error estimates for finite element dynamic models", TM ST 9701, National Aerospace Laboratories, Bangalore, India, (1997) . Google ScholarR. D. Mindlin, Journal of Applied Mechanics 18, 31 (1951). Crossref, Google Scholar FiguresReferencesRelatedDetailsCited By 2Analysis and reversal of dry and hydroelastic vibration modes of stiffened platesPi-Liang Li, Rong-Juin Shyu, Wei-Hui Wang and Chieh-Yuan Cheng1 Jun 2011 | Ocean Engineering, Vol. 38, No. 8-9Variational correctness and Timoshenko beam finite element elastodynamicsP. Jafarali, Mohammed Ameen, Somenath Mukherjee and Gangan Prathap1 Jan 2007 | Journal of Sound and Vibration, Vol. 299, No. 1-2 Recommended Vol. 05, No. 03 Metrics History PDF download