-
1
-
-
49249151462
-
Nonlinear vibrations of simply supported beams
-
10.1016/0362-546X(79)90032-4
-
T. Küpper A. Molitor 1977 Nonlinear vibrations of simply supported beams Nonlinear Anal. Theory Methods Appl. 3 1 45 48 10.1016/0362-546X(79)90032- 4
-
(1977)
Nonlinear Anal. Theory Methods Appl.
, vol.3
, Issue.1
, pp. 45-48
-
-
Küpper, T.1
Molitor, A.2
-
2
-
-
0001149152
-
Nonlinear vibration of a beam
-
0698.35040 10.1016/0362-546X(89)90002-3
-
J.Q. Liu 1989 Nonlinear vibration of a beam Nonlinear Anal. Theory Methods Appl. 13 10 1139 1148 0698.35040 10.1016/0362-546X(89)90002-3
-
(1989)
Nonlinear Anal. Theory Methods Appl.
, vol.13
, Issue.10
, pp. 1139-1148
-
-
Liu, J.Q.1
-
3
-
-
0018005153
-
LARGE AMPLITUDE VIBRATION OF HINGED BEAMS.
-
DOI 10.1016/0045-7949(78)90141-4
-
G. Prathap T.K. Varadan 1978 The large amplitude vibration of hinged beams Comput. Struct. l9 219 222 10.1016/0045-7949(78)90141-4 (Pubitemid 8632918)
-
(1978)
Computers and Structures
, vol.9
, Issue.2
, pp. 219-222
-
-
Prathap, G.1
Varadan, T.K.2
-
4
-
-
0018263185
-
LARGE AMPLITUDE VIBRATION OF TAPERED CLAMPED BEAMS.
-
G. Prathap T.K. Varadan 1978 The large amplitude vibration of tapered clamped beams J. Sound Vib. 58 1 87 94 0371.70006 10.1016/S0022-460X(78)80062-5 (Pubitemid 8613793)
-
(1978)
Journal of Sound and Vibration
, vol.58
, Issue.1
, pp. 87-94
-
-
Prathap, G.1
Varadan, T.K.2
-
5
-
-
3743073304
-
Nonlinear free vibration of beams with clamped ends and with one end clamped, other end simply supported
-
K. Sato 1968 Nonlinear free vibration of beams with clamped ends and with one end clamped, other end simply supported Bull. J. Soc. Mech. Eng. 11 1027 1036
-
(1968)
Bull. J. Soc. Mech. Eng.
, vol.11
, pp. 1027-1036
-
-
Sato, K.1
-
6
-
-
0015340627
-
Nonlinear free vibrations of elastic structures
-
0286.73049 10.1016/0020-7683(73)90071-1 341983
-
L.W. Rehfield 1973 Nonlinear free vibrations of elastic structures Int. J. Solids Struct. 9 581 590 0286.73049 10.1016/0020-7683(73)90071-1 341983
-
(1973)
Int. J. Solids Struct.
, vol.9
, pp. 581-590
-
-
Rehfield, L.W.1
-
7
-
-
0015567290
-
Finite element displacement method for large amplitude free flexural vibrations of beams and plates
-
10.1016/0045-7949(73)90081-3
-
Ch. Mei 1973 Finite element displacement method for large amplitude free flexural vibrations of beams and plates Comput. Struct. 3 163 174 10.1016/0045-7949(73)90081-3
-
(1973)
Comput. Struct.
, vol.3
, pp. 163-174
-
-
Mei, Ch.1
-
8
-
-
0019064775
-
GALERKIN FINITE ELEMENT METHOD FOR NON-LINEAR BEAM VIBRATIONS.
-
DOI 10.1016/0022-460X(80)90652-5
-
G.R. Bhashyam G. Prathap 1980 Galerkin finite element method for non-linear beam vibrations J. Sound Vib. 72 2 191 203 0444.73063 10.1016/0022-460X(80)90652-5 (Pubitemid 11470641)
-
(1980)
Journal of Sound and Vibration
, vol.72
, Issue.2
, pp. 191-203
-
-
Bhashyam, G.R.1
Prathap, G.2
-
9
-
-
0021424916
-
A simple element for static and dynamic response of beams with material and geometric nonlinearities
-
0528.73062 10.1002/nme.1620200506
-
T.Y. Yang S. Saigal 1984 A simple element for static and dynamic response of beams with material and geometric nonlinearities Int. J. Numer. Methods Eng. 20 851 867 0528.73062 10.1002/nme.1620200506
-
(1984)
Int. J. Numer. Methods Eng.
, vol.20
, pp. 851-867
-
-
Yang, T.Y.1
Saigal, S.2
-
10
-
-
0022445222
-
DISCUSSION OF FINITE ELEMENT FORMULATIONS OF NONLINEAR BEAM VIBRATIONS.
-
DOI 10.1016/0045-7949(86)90087-8
-
Ch. Mei 1986 Discussion of finite element formulations of nonlinear beam vibrations Comput. Struct. 22 1 83 85 10.1016/0045-7949(86)90087-8 (Pubitemid 16518117)
-
(1986)
Computers and Structures
, vol.22
, Issue.1
, pp. 83-85
-
-
Chuh Mei1
-
11
-
-
0029273421
-
Symplectic integration of an accurate beam finite element in non-linear vibration
-
0871.73068 10.1016/0045-7949(94)00388-J
-
A.Y.T. Leung S.G. Mao 1995 Symplectic integration of an accurate beam finite element in non-linear vibration Comput. Struct. 54 1135 1147 0871.73068 10.1016/0045-7949(94)00388-J
-
(1995)
Comput. Struct.
, vol.54
, pp. 1135-1147
-
-
Leung, A.Y.T.1
Mao, S.G.2
-
12
-
-
0030150389
-
Dynamic finite element analysis of a nonlinear beam subjected to a moving load
-
DOI 10.1016/0020-7683(95)00128-X
-
T.P. Chang Y.-N. Liu 1996 Dynamic finite element analysis of a nonlinear beam subjected to a moving load Int. J. Solids Struct. 33 12 1673 1688 0928.74089 10.1016/0020-7683(95)00128-X (Pubitemid 126395820)
-
(1996)
International Journal of Solids and Structures
, vol.33
, Issue.12
, pp. 1673-1688
-
-
Chang, T.-P.1
Liu, Y.-N.2
-
13
-
-
34447506006
-
Dynamic analysis of very flexible beams
-
DOI 10.1016/j.jsv.2007.01.032, PII S0022460X07001095
-
R. Fotouhi 2007 Dynamic analysis of very flexible beams J. Sound Vib. 305 521 533 10.1016/j.jsv.2007.01.032 (Pubitemid 47069434)
-
(2007)
Journal of Sound and Vibration
, vol.305
, Issue.3
, pp. 521-533
-
-
Fotouhi, R.1
-
14
-
-
1442265955
-
Non-linear dynamic analysis of beams with variable stiffness
-
10.1016/S0022-460X(03)00635-7
-
J.T. Katsikadelis G.C. Tsiatas 2004 Non-linear dynamic analysis of beams with variable stiffness J. Sound Vib. 270 847 863 10.1016/S0022-460X(03)00635-7
-
(2004)
J. Sound Vib.
, vol.270
, pp. 847-863
-
-
Katsikadelis, J.T.1
Tsiatas, G.C.2
-
15
-
-
34247175856
-
Non-linear dynamic stability of damped Beck's column with variable cross-section
-
DOI 10.1016/j.ijnonlinmec.2006.10.019, PII S0020746207000327
-
J.T. Katsikadelis G.C. Tsiatas 2007 Non-linear dynamic stability of damped Beck's column with variable cross section Int. J. Non-Linear Mech. 42 164 171 10.1016/j.ijnonlinmec.2006.10.019 (Pubitemid 46589479)
-
(2007)
International Journal of Non-Linear Mechanics
, vol.42
, Issue.1
, pp. 164-171
-
-
Katsikadelis, J.T.1
Tsiatas, G.C.2
-
16
-
-
39549103848
-
Discussion of "On the comparison of Timoshenko and shear models in beam dynamics" by Noé Challamel
-
DOI 10.1061/(ASCE)0733-9399(2008)134:3(269)
-
J.D. Aristizabal-Ochoa 2008 On the comparison of Timoshenko and shear models in beam dynamics ASCE J. Eng. Mech. 134 3 269 270 10.1061/(ASCE)0733- 9399(2008)134:3(269) (Pubitemid 351279666)
-
(2008)
Journal of Engineering Mechanics
, vol.134
, Issue.3
, pp. 269-270
-
-
Aristizabal-Ochoa, J.D.1
-
17
-
-
60449088269
-
Shear deformation effect in flexural-torsional vibrations of beams by BEM
-
05555418 10.1007/s00707-008-0041-7
-
E.J. Sapountzakis J.A. Dourakopoulos 2009 Shear deformation effect in flexural-torsional vibrations of beams by BEM Acta Mech. 203 197 221 05555418 10.1007/s00707-008-0041-7
-
(2009)
Acta Mech.
, vol.203
, pp. 197-221
-
-
Sapountzakis, E.J.1
Dourakopoulos, J.A.2
-
18
-
-
8644248874
-
Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams
-
10.1061/(ASCE)0733-9399(2004)130:10(1151)
-
J.D. Aristizabal-Ochoa 2004 Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams ASCE J. Eng. Mech. 130 10 1151 1159 10.1061/(ASCE)0733-9399(2004)130:10(1151)
-
(2004)
ASCE J. Eng. Mech.
, vol.130
, Issue.10
, pp. 1151-1159
-
-
Aristizabal-Ochoa, J.D.1
-
19
-
-
34548219959
-
Stability and natural frequencies of a weakened Timoshenko beam-column with generalized end conditions under constant axial load
-
DOI 10.1016/j.jsv.2007.06.059, PII S0022460X07004968
-
L.G. Arboleda-Monsalve D.G. Zapata-Medina J.D. Aristizabal-Ochoa 2007 Stability and natural frequencies of a weakened Timoshenko beam-column with generalized end conditions under constant axial load J. Sound Vib. 307 1-2 89 112 10.1016/j.jsv.2007.06.059 (Pubitemid 47332500)
-
(2007)
Journal of Sound and Vibration
, vol.307
, Issue.1-2
, pp. 89-112
-
-
Arboleda-Monsalve, L.G.1
Zapata-Medina, D.G.2
Aristizabal-Ochoa, J.D.3
-
20
-
-
34548244026
-
Static and dynamic stability of uniform shear beam-columns under generalized boundary conditions
-
DOI 10.1016/j.jsv.2007.06.049, PII S0022460X07004919
-
J.D. Aristizabal-Ochoa 2007 Static and dynamic stability of uniform shear beam-columns under generalized boundary conditions J. Sound Vib. 307 1-2 69 88 10.1016/j.jsv.2007.06.049 (Pubitemid 47332498)
-
(2007)
Journal of Sound and Vibration
, vol.307
, Issue.1-2
, pp. 69-88
-
-
Aristizabal-Ochoa, J.D.1
-
21
-
-
37849023859
-
Timoshenko beam-column with generalized end conditions on elastic foundation: Dynamic-stiffness matrix and load vector
-
10.1016/j.jsv.2007.08.014
-
L.G. Arboleda-Monsalve D.G. Zapata-Medina J.D. Aristizabal-Ochoa 2008 Timoshenko beam-column with generalized end conditions on elastic foundation: dynamic-stiffness matrix and load vector J. Sound Vib. 310 1057 1079 10.1016/j.jsv.2007.08.014
-
(2008)
J. Sound Vib.
, vol.310
, pp. 1057-1079
-
-
Arboleda-Monsalve, L.G.1
Zapata-Medina, D.G.2
Aristizabal-Ochoa, J.D.3
-
22
-
-
40649106710
-
Static and dynamic stability of an elastically restrained Beck column with an attached end mass
-
J.A. Hernández-Urrea J.D. Aristizábal-Ochoa 2008 Static and dynamic stability of an elastically restrained Beck column with an attached end mass J. Sound Vib. 312 4-5 789 800
-
(2008)
J. Sound Vib.
, vol.312
, Issue.45
, pp. 789-800
-
-
Hernández-Urrea, J.A.1
Aristizábal-Ochoa, J.D.2
-
23
-
-
0016950345
-
Nonlinear vibrations of beams considering shear deformation and rotary inertia
-
0343.73034 10.2514/3.7138
-
G.V. Rao I.S. Raju K. Kanaka Raju 1976 Nonlinear vibrations of beams considering shear deformation and rotary inertia AIAA J. 14 5 685 687 0343.73034 10.2514/3.7138
-
(1976)
AIAA J.
, vol.14
, Issue.5
, pp. 685-687
-
-
Rao, G.V.1
Raju, I.S.2
Kanaka Raju, K.3
-
24
-
-
0032668472
-
Influence of shear deformation and rotary inertia on nonlinear free vibration of a beam with pinned ends
-
10.1016/S0045-7949(98)00299-5
-
M.A. Foda 1999 Influence of shear deformation and rotary inertia on nonlinear free vibration of a beam with pinned ends Comput. Struct. 71 663 670 10.1016/S0045-7949(98)00299-5
-
(1999)
Comput. Struct.
, vol.71
, pp. 663-670
-
-
Foda, M.A.1
-
25
-
-
0041344361
-
Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method
-
1062.74063 10.1023/A:1024463711325
-
H. Zhong Q. Guo 2003 Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method Nonlinear Dyn. 32 223 234 1062.74063 10.1023/A:1024463711325
-
(2003)
Nonlinear Dyn.
, vol.32
, pp. 223-234
-
-
Zhong, H.1
Guo, Q.2
-
26
-
-
3042709768
-
Nonlinear vibrations of Timoshenko beams with various boundary conditions
-
Q. Guo X. Liu H. Zhong 2004 Nonlinear vibrations of Timoshenko beams with various boundary conditions Tsinghua Sci. Technol. 9 2 125 129
-
(2004)
Tsinghua Sci. Technol.
, vol.9
, Issue.2
, pp. 125-129
-
-
Guo, Q.1
Liu, X.2
Zhong, H.3
-
27
-
-
36049012365
-
Higher-order nonlinear vibration analysis of Timoshenko beams by the spline-based differential quadrature method
-
H. Zhong M. Liao 2007 Higher-order nonlinear vibration analysis of Timoshenko beams by the spline-based differential quadrature method Shock Vib. 14 407 416
-
(2007)
Shock Vib.
, vol.14
, pp. 407-416
-
-
Zhong, H.1
Liao, M.2
-
28
-
-
38649091985
-
Nonlinear vibration analysis of tapered Timoshenko beams
-
DOI 10.1016/j.chaos.2006.07.055, PII S0960077906007880
-
M. Liao H. Zhong 2008 Nonlinear vibration analysis of tapered Timoshenko beams Chaos Solitons Fractals 36 1267 1272 1135.74021 10.1016/j.chaos.2006.07. 055 (Pubitemid 351172775)
-
(2008)
Chaos, Solitons and Fractals
, vol.36
, Issue.5
, pp. 1267-1272
-
-
Liao, M.1
Zhong, H.2
-
29
-
-
0024131352
-
Large amplitude vibration of a beam based on a higher-order deformation theory
-
10.1016/0003-682X(88)90062-X
-
J.L. Doong C.S. Chen 1988 Large amplitude vibration of a beam based on a higher-order deformation theory Appl. Acoustics 25 281 293 10.1016/0003-682X(88) 90062-X
-
(1988)
Appl. Acoustics
, vol.25
, pp. 281-293
-
-
Doong, J.L.1
Chen, C.S.2
-
30
-
-
0028501048
-
Nonlinear finite element modelling of a high speed rotating Timoshenko beam structure
-
0810.73062 10.1016/0020-7403(94)90013-2
-
S.H.Y. Lai 1994 Nonlinear finite element modelling of a high speed rotating Timoshenko beam structure Int. J. Mech. Sci. 36 9 849 861 0810.73062 10.1016/0020-7403(94)90013-2
-
(1994)
Int. J. Mech. Sci.
, vol.36
, Issue.9
, pp. 849-861
-
-
Lai, S.H.Y.1
-
31
-
-
0029634501
-
Nonlinear dynamics analysis of flexible beams under large overall motions and the flexible manipulator simulation
-
0900.73351 10.1016/0045-7949(94)00542-B
-
J.L. Meek H. Liu 1995 Nonlinear dynamics analysis of flexible beams under large overall motions and the flexible manipulator simulation Comput. Struct. 56 1 1 14 0900.73351 10.1016/0045-7949(94)00542-B
-
(1995)
Comput. Struct.
, vol.56
, Issue.1
, pp. 1-14
-
-
Meek, J.L.1
Liu, H.2
-
32
-
-
0032207747
-
Non-linear vibration of Timoshenko beam due to a moving force and the weight of beam
-
10.1006/jsvi.1998.1827
-
R.T. Wang T.H. Chou 1998 Non-linear vibration of Timoshenko beam due to a moving force and the weight of beam J. Sound Vib. 218 1 117 131 10.1006/jsvi.1998.1827
-
(1998)
J. Sound Vib.
, vol.218
, Issue.1
, pp. 117-131
-
-
Wang, R.T.1
Chou, T.H.2
-
33
-
-
34948869264
-
Poisson modes and general nonlinear constitutive models in the large displacement analysis of beams
-
DOI 10.1007/s11044-007-9077-z, Commemorating the 10th Anniversary
-
L.G. Maqueda A.A. Shabana 2007 Poisson modes and general nonlinear constitutive models in the large displacement analysis of beams J. Multibody Syst. Dyn. 18 3 375 396 05207048 10.1007/s11044-007-9077-z 2430591 (Pubitemid 47519601)
-
(2007)
Multibody System Dynamics
, vol.18
, Issue.3
, pp. 375-396
-
-
Maqueda, L.G.1
Shabana, A.A.2
-
34
-
-
32844472948
-
The analog equation method. A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
-
1051.74052 2015530
-
J.T. Katsikadelis 2002 The analog equation method. A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies Theor. Appl. Mech. 27 13 38 1051.74052 2015530
-
(2002)
Theor. Appl. Mech.
, vol.27
, pp. 13-38
-
-
Katsikadelis, J.T.1
-
35
-
-
4544383266
-
Studies of Newmark method for solving nonlinear systems: (I) basic analysis
-
S.Y. Chang 2004 Studies of Newmark method for solving nonlinear systems: (I) basic analysis J. Chin. Inst. Eng. 27 5 651 662
-
(2004)
J. Chin. Inst. Eng.
, vol.27
, Issue.5
, pp. 651-662
-
-
Chang, S.Y.1
-
37
-
-
5844330633
-
A model for plane elastica with simple shear deformation pattern
-
0810.73021 10.1007/BF01170067 1274741
-
T.M. Atanackovic D.T. Spasic 1994 A model for plane elastica with simple shear deformation pattern Acta Mech. 104 241 253 0810.73021 10.1007/BF01170067 1274741
-
(1994)
Acta Mech.
, vol.104
, pp. 241-253
-
-
Atanackovic, T.M.1
Spasic, D.T.2
-
38
-
-
0346723156
-
Tension buckling in multilayer elastomeric bearings
-
DOI 10.1061/(ASCE)0733-9399(2003)129:12(1363)
-
J.D. Aristizábal-Ochoa 2003 Tension buckling in multilayer elastomeric bearings by James M. Kelly ASCE J. Eng. Mech. 129 12 1363 1368 10.1061/(ASCE)0733-9399(2003)129:12(1363) Discussion: 131(1), 106-108 (2005) (Pubitemid 37554413)
-
(2003)
Journal of Engineering Mechanics
, vol.129
, Issue.12
, pp. 1363-1368
-
-
Kelly, J.M.1
-
40
-
-
0007653595
-
The shear coefficient in Timoshenko's beam theory
-
0151.37901
-
G.R. Cowper 1966 The shear coefficient in Timoshenko's beam theory ASME J. Appl. Mech. 33 2 335 340 0151.37901
-
(1966)
ASME J. Appl. Mech.
, vol.33
, Issue.2
, pp. 335-340
-
-
Cowper, G.R.1
-
41
-
-
0028424735
-
On the shear deformation coefficient in beam theory
-
0804.73024 10.1016/0168-874X(94)00008-5
-
U. Schramm L. Kitis W. Kang W.D. Pilkey 1994 On the shear deformation coefficient in beam theory Finite Elem. Anal. Des. 16 141 162 0804.73024 10.1016/0168-874X(94)00008-5
-
(1994)
Finite Elem. Anal. Des.
, vol.16
, pp. 141-162
-
-
Schramm, U.1
Kitis, L.2
Kang, W.3
Pilkey, W.D.4
-
42
-
-
0030871488
-
Beam stiffness matrix based on the elasticity equations
-
10.1002/(SICI)1097-0207(19970130)40:2<211::AID-NME58>3.0.CO;2-P
-
U. Schramm V. Rubenchik W.D. Pilkey 1997 Beam stiffness matrix based on the elasticity equations Int. J. Numer. Methods Eng. 40 211 232 10.1002/(SICI)1097-0207(19970130)40:2<211::AID-NME58>3.0.CO;2-P
-
(1997)
Int. J. Numer. Methods Eng.
, vol.40
, pp. 211-232
-
-
Schramm, U.1
Rubenchik, V.2
Pilkey, W.D.3
-
43
-
-
0018990354
-
Timoshenko's shear coefficient from a beam subjected to gravity loading
-
0436.73057
-
N.G. Stephen 1980 Timoshenko's shear coefficient from a beam subjected to gravity loading ASME J. Appl. Mech. 47 121 127 0436.73057
-
(1980)
ASME J. Appl. Mech.
, vol.47
, pp. 121-127
-
-
Stephen, N.G.1
-
44
-
-
0000048562
-
Shear coefficients for Timoshenko beam theory
-
1110.74489
-
J.R. Hutchinson 2001 Shear coefficients for Timoshenko beam theory ASME J. Appl. Mech. 68 87 92 1110.74489
-
(2001)
ASME J. Appl. Mech.
, vol.68
, pp. 87-92
-
-
Hutchinson, J.R.1
-
45
-
-
36749011273
-
Stabtragwerke, der Ingenieurbau
-
G. Mehlhorn (eds). Ernst & Sohn Berlin
-
Ramm, E., Hofmann, T.J.: Stabtragwerke, Der Ingenieurbau. In: Mehlhorn, G. (ed.) Band Baustatik/Baudynamik. Ernst & Sohn, Berlin (1995)
-
(1995)
Band Baustatik/Baudynamik
-
-
Ramm, E.1
Hofmann, T.J.2
-
47
-
-
24144484721
-
A BEM solution to transverse shear loading of beams
-
DOI 10.1007/s00466-005-0677-2
-
E.J. Sapountzakis V.G. Mokos 2005 A BEM solution to transverse shear loading of beams Comput. Mech. 36 384 397 1138.74413 10.1007/s00466-005-0677-2 (Pubitemid 41241786)
-
(2005)
Computational Mechanics
, vol.36
, Issue.5
, pp. 384-397
-
-
Sapountzakis, E.J.1
Mokos, V.G.2
-
49
-
-
0034224184
-
Analysis of plates reinforced with beams
-
DOI 10.1007/s004660000156
-
E.J. Sapountzakis J.T. Katsikadelis 2000 Analysis of plates reinforced with beams Comput. Mech. 26 66 74 1050.74684 10.1007/s004660000156 (Pubitemid 30915691)
-
(2000)
Computational Mechanics
, vol.26
, Issue.1
, pp. 66-74
-
-
Sapountzakis, E.J.1
Katsikadelis, J.T.2
|