Large amplitude vibration of some moderately thick structural elements
Tài liệu tham khảo
Timoshenko, 1955
Rogers, 1959
Anderson, 1953, Flexural vibrations in uniform beams according to the Timoshenko theory, Journal of Applied Mechanics, 20, 504, 10.1115/1.4010755
Boley, 1955, Some solutions of the Timoshenko beam equation, Journal of Applied Mechanics, 22, 579, 10.1115/1.4011158
Dolph, 1954, On the Timoshenko theory of transverse beam vibrations, Quarterly of Applied Mathematics, 10, 175, 10.1090/qam/62620
Fettis, 1949, Effect of rotatory inertia on higher modes of vibration, Journal of Aeronautical Sciences, 16, 445
Kruszewski, 1949, Effect of transverse shear and rotatory inertia on the natural frequency of a uniform beam, NACA Technical Note, 1909
Trail-Nash, 1953, The effects of shear flexibility and rotatory inertia on the bending vibrations of beams, Quarterly Journal of Mechanics and Applied Mathematics, 6, 186, 10.1093/qjmam/6.2.186
Eringen, 1951, On the nonlinear vibration of elastic bars, Quarterly of Applied Mathematics, 9, 361, 10.1090/qam/43694
Libai, 1962, On the non-linear elastokinetics of shells and beams, Journal of the Aerospace Sciences, 29, 1190, 10.2514/8.9758
Wu, 1969, Influences of large amplitudes, transverse shear deformation, and rotatory inertia on literal vibrations of transversely isotropic plates, Journal of Applied Mechanics, 36, 252, 10.1115/1.3564617
Chu, 1956, Influence of large amplitudes on free flexural vibrations of rectangular elastic plates, Journal of Applied Mechanics, 23, 532, 10.1115/1.4011396
Nash, 1959, Certain approximate analysis of the non-linear behaviour of plates and shallow shells
Hoff, 1953, Dynamic analysis of the buckling of laterally loaded flat arches, Journal of Mathematics and Physics, 32, 276, 10.1002/sapm1953321276
Lock, 1966, Snapping of a shallow sinusoidal arch under a step pressure load, American Institute of Aeronautics and Astronautics Journal, 4, 1249, 10.2514/3.3656
Bolotin, 1964
Fulton, 1965, Dynamic axisymmetric buckling of shallow conical shells subjected to impulsive loads, Journal of Applied Mechanics, 32, 129, 10.1115/1.3625708
Humphreys, 1966, On dynamic snap buckling of shallow arches, American Institute of Aeronautics and Astronautics Journal, 4, 878, 10.2514/3.3561
Budiansky, 1962, Axisymmetric dynamic buckling of clamped shallow spherical shells, NASA TND-1510, 597
Hsu, 1967, The effects of various parameters on the dynamic stability of a shallow arch, Journal of Applied Mechanics, 34, 349, 10.1115/1.3607689
Hsu, 1968, Stability of shallow arches against snap-through under timewise step loads, Journal of Applied Mechanics, 35, 31, 10.1115/1.3601170
Hsu, 1969, Dynamic stability criteria for clamped shallow arches under timewise step loads, American Institute of Aeronautics and Astronautics Journal, 7, 1925, 10.2514/3.5483
Vlasov, 1964, General theory of shells and its applications in engineering, NASA TTF-99
Ogibalov, 1966
Reissner, 1950, On a variational theorem in elasticity, Journal of Mathematics and Physics, 29, 90, 10.1002/sapm195029190
Marguerre, 1938, Zur Theorie der Gekrummten Platte Grosser Formanderung, 93
Volterra, 1965, 349
Reissner, 1955, On transverse vibrations of thin, shallow elastic shells, Quarterly of Applied Mathematics, 13, 169, 10.1090/qam/69715
Mindlin, 1956, Flexural vibrations of rectangular plates, Journal of Applied Mechanics, 23, 430, 10.1115/1.4011349
Mindlin, 1961, High frequency vibrations of crystal plates, Quarterly of Applied Mathematics, 19, 51, 10.1090/qam/99967
Chu, 1961, Influence of large amplitudes on flexural vibrations of a thin circular cylindrical shell, Journal of the Aerospace Sciences, 28, 602, 10.2514/8.9113
Singh, 1970, Non-linear oscillations of moderately thick structural elements