The dynamic response of structures subject to excitation by moving mass systems: part 1—basic formulation

References

• Murphy , D. P. The dynamic response of engineering structures to excitation by moving mass systems , Ph.D. thesis , University of Wyoming , USA , 1984 , pPTL84–I8782 p
   Google Scholar
• Timoshenko , S. P. and Young , D. H. Vibration problems in engineering , 3rd edn , Van Nostrand , New York , 1955
   Google Scholar
• Timoshenko , S. P. History of the strength of materials . Van Nostrancl , New York , 1953
   Google Scholar
• Stokes , G. G. Discussion of a differential equation relating to the breaking of railway bridges , Trans., Cambridge Phil. Soc , 1849 , 8 , Part 5 , 707 – 735
   Google Scholar
• Zimmerman , H. Die Schwingungcn eines Tragers mil bewegter Last , Centralblatt cier Bauverwaltung , 1896 , 16 ( 23 ), 249 – 251
   Google Scholar
• Krylov , A. N. Mathematical collection of papers of the academy of sciences , 61 , Peterburg , 1905
   Google Scholar
• Lowan , A. N. On transverse oscillations of beams under the action of moving variable loads , Phil. Mag., ser. 7 , 1935 , 19 ( 127 )
   Google Scholar
• Bondar , N. G. Dynamic calculations of beams subjected to a moving load , Assledovaniya po leorii sooruzhenu , Vol. 6 , Stroiizdat , Moscow , 1954
   Google Scholar
• Sailer , H. Einfluss bewegter Last auf Eisenbahnoberbaw und Brucken , Kreidels Verlag , Berlin , 1921
   Google Scholar
• Jeffcott , H. H. On the vibrations of beams under the action of moving loads , Phil. Mag., ser. 7 , 1929 , 8 ( 48 )
   Google Scholar
• Muchinikov , V. M. Some methods of computing vibration of elastic systems subjected to moving loads , Gosstroiizdat , Moscow , 1953
   Google Scholar
• Ryazanova , M. Y. Vibration of beams produced by the action of loads moving on them , Dopovidi AN URSR , 1958 , 20 ( 2 )
   Google Scholar
• Naleskiewicz , J. On the dynamics of bridge girders , (in Polish), Archiwurn mechaniki stosowanej , 1953 , 5 ( 4 )
   Google Scholar
• Bolotin , V. V. Problem of bridge vibration under the action of a moving load , (in Russian), Azvestiya AN SSSR, Mekhanika i mashinostraenie , 1961 , ( 4 )
   Google Scholar
• Inglis , C. E. A mathematical treatise on vibration in railway bridges , University Press , Cambridge , 1934
   Google Scholar
• Hillerborg , A. Dynamic influence of smoothly running loads on simply supported girders , Kungl. Tekn . Hogskolan , Stockholm , 1951
   Google Scholar
• Biggs , J. M. , Suer , H. S. and Louw , J. M. Vibration on simple-span highway bridges , Trans. Am. Soc. Civ. Eng. , 1959 , 124 ( 2979 )
   Google Scholar
• Tung , T. P. , Goodman , L. E. , Chen , T. Y. and Newmark , N. M. Highway bridge impact problems , Highway Res. Board Bulletin , 1956 , ( 124 ), 111 – 134
   Google Scholar
• Fryba , L. Vibration of solids and structures under moving loads , Noordhoff International , Groningen , The Netherlands , 1972
   Google Scholar
• Ting , E. G , Genin , J. and Ginsberg , J. H. A general algorithm for moving mass problems , J. Sound and Vibration , 1974 . 33 , 49 – 58
   Web of Science ®Google Scholar
• Hayashikawa , T. and VVatanabe , N. Dynamic behaviour of continuous beams with moving loads , A. Eng. Mech. Div. ASCE , 1981 , 229 – 246
   Google Scholar
• Ruble , E.J. Impact in railroad bridges , J. Struct. Div., Proc. ASCE , 1955 , 81 ( 736 ), 1 – 36
   Google Scholar
• Summary of tests on steel girder spans , American Railway Engineering Association , 1959 , 36 – 55
   Google Scholar
• Byers , W. G. Impact from railway loading on steel girder spans , J. Struct. Div., Proc. ASCE , 1970 , 96 ( 6 ), 1083 – 1103
   Google Scholar
• The AASHO road test, Rep. 4, Bridge Research, Highway Research Board, Rep.6 ID , National Academy of Sciences, National Research Council , Washington , DC , 1962
   Google Scholar
• Tung , C. C. Random response of highway bridges to vehicle loads , J. Eng. Mech. Div., Proc. ASCE , 1967 , 93 ( 5 ), 79 – 94
   Google Scholar
• Velestos , A. S. and Huang , T. Analysis of dynamic response of highway bridges , J. Eng. Mech. Div., Proc. ASCE , 1971 , 96 ( 5 ), 593 – 620
   Google Scholar
• Levy , S. and Wilkinson , J. P. D. The component element method in dynamics , McGraw-Hill , New York , 1976
   Google Scholar
• Paz , M. Structural dynamics, theory and computation , 2nd edn , Van Nostrand Reinhold , New York , 1985
   Google Scholar
• Newmark , N. M. A method of computation for structural dynamics , Proc. ASCE, J. Eng. Mech. Div. , 1959 , 85 , 67 – 94
   Google Scholar
• Wilson , E. L. , Farhoomand , I. and Bathe , K. J. Nonlinear dynamic analysis of complex structures , Earthquake Eng. Struct. Dyn. 1973 , 1 , 241 – 252
   Google Scholar
• Bathe , K. J. Finite element procedures in engineering analysis , Prentice-Hall , Englewood Cliffs , New Jersey , 1982
   Google Scholar
• Houbolt , J. C. A recurrence matrix solution for the dynamic response of elastic aircraft , J. Aero. Sci. , 1950 , 17 , 540 – 594
   Google Scholar
• Stabel , J. and Kim , J.-D. Integration of nonlinear equations of motion, in particular in the context of friction/impact problems , Nuclear Eng. Des. , 1984 , 83 ( 1 ), 83 – 86
   Web of Science ®Google Scholar
• Yagawa , G. , Ohtsubo , H. , Takeda , H. , Toi , Y. , Aizawa , T. and Ikushima , T. A round robin on numerical analysis for impact problems , Nuclear Eng. Des. 1984 , 78 , 377 – 387
   Web of Science ®Google Scholar
• McNamara , J. F. Solution schemes for problems of nonlinear structural dynamics , J. Pressure Vessel Technol., Trans. ASME , 1974 , Ser. J , 96 , 96 – 102
   Google Scholar
• Friedman , B. Principles and techniques of applied mathematics , John Wiley and Sons , New York , 1956
   Google Scholar
• Langhaar , H. L. Energy methods in applied mechanics , John Wiley and Sons , New York , 1962
   Google Scholar
• Clough , R. W. and Penzien , J. Dynamics of structures , McGraw-Hill , New York , 1975
   Google Scholar