메뉴 건너뛰기




Volumn 25, Issue 2, 2012, Pages 282-293

Advanced beam formulations for free-vibration analysis of conventional and joined wings

Author keywords

Aerospace engineering; Beams; Finite element method; Higher order theories; Thin walled structures; Vibration

Indexed keywords

BEAMS; CLASSICAL BEAM THEORY; COMPUTATIONALLY EFFICIENT; FREE-VIBRATION ANALYSIS; HIGHER-ORDER THEORY; TIMOSHENKO BEAM THEORY; VARIOUS BOUNDARY CONDITIONS; VIBRATION;

EID: 84878366764     PISSN: 08931321     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)AS.1943-5525.0000130     Document Type: Article
Times cited : (64)

References (46)
  • 1
    • 0032188498 scopus 로고    scopus 로고
    • Free vibration of axially loaded composite Timoshenko beams using the dynamic stiffness matrix method
    • 10.1016/S0045-7949(98)00114-X
    • Banerjee, J. R. (1998). " Free vibration of axially loaded composite Timoshenko beams using the dynamic stiffness matrix method." Comput. Struct. CMSTCJ 0045-7949, 69 (2), 197-208. 10.1016/S0045-7949(98)00114-X
    • (1998) Comput. Struct. CMSTCJ 0045-7949 , vol.69 , Issue.2 , pp. 197-208
    • Banerjee, J.R.1
  • 2
    • 10444234231 scopus 로고    scopus 로고
    • Dynamic stiffness formulation and free vibration analysis of a three-layered sandwich beam
    • 10.1016/j.ijsolstr.2004.09.013
    • Banerjee, J. R., and, Sobey, A. J. (2005). " Dynamic stiffness formulation and free vibration analysis of a three-layered sandwich beam." Int. J. Solids Struct. IJSOAD 0020-7683, 42 (8), 2181-2197. 10.1016/j.ijsolstr. 2004.09.013
    • (2005) Int. J. Solids Struct. IJSOAD 0020-7683 , vol.42 , Issue.8 , pp. 2181-2197
    • Banerjee, J.R.1    Sobey, A.J.2
  • 3
    • 0027110269 scopus 로고
    • Coupled bending-torsional dynamic stiffness matrix for Timoshenko beam elements
    • 10.1016/0045-7949(92)90026-V
    • Banerjee, J. R., and, Williams, F. W. (1992). " Coupled bending-torsional dynamic stiffness matrix for Timoshenko beam elements." Comput. Struct. CMSTCJ 0045-7949, 42 (3), 301-310. 10.1016/0045-7949(92)90026-V
    • (1992) Comput. Struct. CMSTCJ 0045-7949 , vol.42 , Issue.3 , pp. 301-310
    • Banerjee, J.R.1    Williams, F.W.2
  • 4
    • 0028496750 scopus 로고
    • Clamped-clamped natural frequencies of a bending-torsion coupled beam
    • 10.1006/jsvi.1994.1378
    • Banerjee, J. R., and, Williams, F. W. (1994). " Clamped-clamped natural frequencies of a bending-torsion coupled beam." J. Sound Vib. JSVIAG 0022-460X, 176 (3), 301-306. 10.1006/jsvi.1994.1378
    • (1994) J. Sound Vib. JSVIAG 0022-460X , vol.176 , Issue.3 , pp. 301-306
    • Banerjee, J.R.1    Williams, F.W.2
  • 5
    • 0030151724 scopus 로고    scopus 로고
    • Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping
    • 10.1016/0045-7949(95)00307-X
    • Banerjee, J. R., Guo, S., and, Howson, W. P. (1996). " Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping." Comput. Struct. CMSTCJ 0045-7949, 59 (4), 613-621. 10.1016/0045-7949(95)00307-X
    • (1996) Comput. Struct. CMSTCJ 0045-7949 , vol.59 , Issue.4 , pp. 613-621
    • Banerjee, J.R.1    Guo, S.2    Howson, W.P.3
  • 7
    • 0024681691 scopus 로고
    • On coupled bending torsional vibration of uniform beams
    • 10.1016/0022-460X(89)91005-5
    • Bishop, R. E. D., Cannon, S. M., and, Miao, S. (1989). " On coupled bending torsional vibration of uniform beams." J. Sound Vib. JSVIAG 0022-460X, 131 (3), 457-464. 10.1016/0022-460X(89)91005-5
    • (1989) J. Sound Vib. JSVIAG 0022-460X , vol.131 , Issue.3 , pp. 457-464
    • Bishop, R.E.D.1    Cannon, S.M.2    Miao, S.3
  • 8
    • 0036346225 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered, anisotropic, composite plates and shells
    • 10.1007/BF02736649
    • Carrera, E. (2002). " Theories and finite elements for multilayered, anisotropic, composite plates and shells." Arch. Comput. Methods Eng. 1134-3060, 9 (2), 87-140. 10.1007/BF02736649
    • (2002) Arch. Comput. Methods Eng. 1134-3060 , vol.9 , Issue.2 , pp. 87-140
    • Carrera, E.1
  • 9
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking
    • 10.1007/BF02736224
    • Carrera, E. (2003). " Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking." Arch. Comput. Methods Eng. 1134-3060, 10 (3), 215-296. 10.1007/BF02736224
    • (2003) Arch. Comput. Methods Eng. 1134-3060 , vol.10 , Issue.3 , pp. 215-296
    • Carrera, E.1
  • 10
    • 35148871662 scopus 로고    scopus 로고
    • Analysis of thickness locking in classical, refined and mixed multilayered plate theories
    • 10.1016/j.compstruct.2007.02.002
    • Carrera, E., and, Brischetto, S. (2008). " Analysis of thickness locking in classical, refined and mixed multilayered plate theories." Compos. Struct. COMSE2 0263-8223, 82 (4), 549-562. 10.1016/j.compstruct.2007.02. 002
    • (2008) Compos. Struct. COMSE2 0263-8223 , vol.82 , Issue.4 , pp. 549-562
    • Carrera, E.1    Brischetto, S.2
  • 11
    • 78549284416 scopus 로고    scopus 로고
    • Refined beam theories based on a unified formulation
    • 10.1142/S1758825110000500
    • Carrera, E., and, Giunta, G. (2010). " Refined beam theories based on a unified formulation." Int. J. Appl. Mech. Eng. IJAMAJ 1758-8251, 2 (1), 117-143. 10.1142/S1758825110000500
    • (2010) Int. J. Appl. Mech. Eng. IJAMAJ 1758-8251 , vol.2 , Issue.1 , pp. 117-143
    • Carrera, E.1    Giunta, G.2
  • 12
    • 78549232686 scopus 로고    scopus 로고
    • On the effectiveness of higher-order terms in refined beam theories
    • 10.1115/1.4002207.
    • Carrera, E., and, Petrolo, M. (2011). " On the effectiveness of higher-order terms in refined beam theories." J. Appl. Mech. JAMCAV 0021-8936, 78 (2). 10.1115/1.4002207.
    • (2011) J. Appl. Mech. JAMCAV 0021-8936 , vol.78 , Issue.2
    • Carrera, E.1    Petrolo, M.2
  • 13
    • 75749126864 scopus 로고    scopus 로고
    • Refined beam elements with arbitrary cross-section geometries
    • 10.1016/j.compstruc.2009.11.002.
    • Carrera, E., Giunta, G., Nali, P., and, Petrolo, M. (2010 a). " Refined beam elements with arbitrary cross-section geometries." Comput. Struct. CMSTCJ 0045-7949, 88 (5-6), 283-293, 10.1016/j.compstruc.2009.11.002.
    • (2010) Comput. Struct. CMSTCJ 0045-7949 , vol.88 , Issue.56 , pp. 283-293
    • Carrera, E.1    Giunta, G.2    Nali, P.3    Petrolo, M.4
  • 14
    • 79955469288 scopus 로고    scopus 로고
    • Unified formulation applied to free vibrations finite element analysis of beams with arbitrary section
    • Carrera, E., Petrolo, M., and, Nali, P. (2011). " Unified formulation applied to free vibrations finite element analysis of beams with arbitrary section." Shock Vib. SHVIE8 1070-9622 10.3233/SAV-2010-0528, 18 (3), 485-502.
    • (2011) Shock Vib. SHVIE8 1070-9622 10.3233/SAV-2010-0528 , vol.18 , Issue.3 , pp. 485-502
    • Carrera, E.1    Petrolo, M.2    Nali, P.3
  • 15
    • 84860782951 scopus 로고    scopus 로고
    • Chapter 4, Developments in computational structures technology, Topping, B. H. V. Adam, J. M. Pallarés, F. J. Bru, R. and Romero, M. L. eds. Saxe-Coburg Publications, Stirlingshire, UK, 75-112.
    • Carrera, E., Giunta, G., and, Petrolo, M. (2010 b). " A modern and compact way to formulate classical and advanced beam theories." Chapter 4, Developments in computational structures technology, Topping, B. H. V., Adam, J. M., Pallarés, F. J., Bru, R., and Romero, M. L., eds., Saxe-Coburg Publications, Stirlingshire, UK, 75-112.
    • (2010) A Modern and Compact Way to Formulate Classical and Advanced Beam Theories
    • Carrera, E.1    Giunta, G.2    Petrolo, M.3
  • 16
    • 0025218198 scopus 로고
    • Free vibration of composite beams including rotary inertia and shear deformation
    • 10.1016/0263-8223(90)90010-C
    • Chandrashekhara, K., Krishnamurthy, K., and, Roy, S. (1990). " Free vibration of composite beams including rotary inertia and shear deformation." Comput. Struct. CMSTCJ 0045-7949, 14 (4), 269-279. 10.1016/0263-8223(90)90010-C
    • (1990) Comput. Struct. CMSTCJ 0045-7949 , vol.14 , Issue.4 , pp. 269-279
    • Chandrashekhara, K.1    Krishnamurthy, K.2    Roy, S.3
  • 18
    • 0032132030 scopus 로고    scopus 로고
    • The influence of coupling on the free vibration of anisotropic thin-walled closed-section beams
    • 10.1016/S0020-7683(97)00365-X
    • Dancila, D. S., and, Armanios, E. A. (1998). " The influence of coupling on the free vibration of anisotropic thin-walled closed-section beams." Int. J. Solids and Struct. IJSOAD 0020-7683, 35 (23), 3105-3119. 10.1016/S0020-7683(97)00365-X
    • (1998) Int. J. Solids and Struct. IJSOAD 0020-7683 , vol.35 , Issue.23 , pp. 3105-3119
    • Dancila, D.S.1    Armanios, E.A.2
  • 19
    • 33847721043 scopus 로고    scopus 로고
    • Investigation of conditions of minimum induced drag of closed wing systems and C-Wings
    • 10.2514/1.21884
    • Demasi, L. (2007). " Investigation of conditions of minimum induced drag of closed wing systems and C-Wings." J. Aircr. JAIRAM 0021-8669, 44 (1), 81-99. 10.2514/1.21884
    • (2007) J. Aircr. JAIRAM 0021-8669 , vol.44 , Issue.1 , pp. 81-99
    • Demasi, L.1
  • 20
    • 0029180390 scopus 로고
    • Dynamic stiffness analysis of laminated beams using a first order shear deformation theory
    • 10.1016/0263-8223(95)00091-7
    • Eisenberger, M., Abramovich, H., and, Shulepov, O. (1995). " Dynamic stiffness analysis of laminated beams using a first order shear deformation theory." Compos. Struct. COMSE2 0263-8223, 31 (4), 265-271. 10.1016/0263-8223(95)00091-7
    • (1995) Compos. Struct. COMSE2 0263-8223 , vol.31 , Issue.4 , pp. 265-271
    • Eisenberger, M.1    Abramovich, H.2    Shulepov, O.3
  • 21
    • 79951509597 scopus 로고    scopus 로고
    • Higher order composite beam theory built on Saint-Venants solution. I: Theoretical developments
    • 10.1016/j.compstruct.2010.08.024.
    • El Fatmi, R., and, Ghazouani, N. (2010). " Higher order composite beam theory built on Saint-Venants solution. I: Theoretical developments." Compos. Struct. COMSE2 0263-8223, 10.1016/j.compstruct.2010.08.024.
    • (2010) Compos. Struct. COMSE2 0263-8223
    • El Fatmi, R.1    Ghazouani, N.2
  • 22
    • 0034321174 scopus 로고    scopus 로고
    • Use of generalized mass in the interpretation of dynamic response of bending-torsion coupled beams
    • 10.1006/jsvi.2000.3160
    • Eslimy-Isfahany, S. H. R., and, Banerjee, J. R. (2000). " Use of generalized mass in the interpretation of dynamic response of bending-torsion coupled beams." J. Sound Vib. JSVIAG 0022-460X, 238 (2), 295-308. 10.1006/jsvi.2000.3160
    • (2000) J. Sound Vib. JSVIAG 0022-460X , vol.238 , Issue.2 , pp. 295-308
    • Eslimy-Isfahany, S.H.R.1    Banerjee, J.R.2
  • 23
    • 18444393168 scopus 로고
    • Bousquet, Lausanne and Geneva.
    • Euler, L. (1744). De curvis elasticis, Bousquet, Lausanne and Geneva.
    • (1744) De Curvis Elasticis
    • Euler, L.1
  • 25
    • 33750623729 scopus 로고    scopus 로고
    • Vibration analysis of tapered composite beams using a higher-order finite element. I: Formulation
    • 10.1016/j.compstruct.2005.07.018
    • Ganesan, R., and, Zabihollah, A. (2007). " Vibration analysis of tapered composite beams using a higher-order finite element. I: Formulation." Compos. Struct. COMSE2 0263-8223, 77 (3), 306-318. 10.1016/j.compstruct.2005.07.018
    • (2007) Compos. Struct. COMSE2 0263-8223 , vol.77 , Issue.3 , pp. 306-318
    • Ganesan, R.1    Zabihollah, A.2
  • 27
    • 0035340872 scopus 로고    scopus 로고
    • Free vibrations of laminated beams using mixed theory
    • 10.1016/S0263-8223(00)00162-8
    • Kameswara Rao, M, Desai, Y. M., and, Chitnis, M. R. (2001). " Free vibrations of laminated beams using mixed theory." Compos. Struct. COMSE2 0263-8223, 52 (2), 149-160. 10.1016/S0263-8223(00)00162-8
    • (2001) Compos. Struct. COMSE2 0263-8223 , vol.52 , Issue.2 , pp. 149-160
    • Kameswara Rao, M.1    Desai, Y.M.2    Chitnis, M.R.3
  • 28
    • 0031369850 scopus 로고    scopus 로고
    • Analytical solution to the dynamic analysis of laminated beams using higher order refined theory
    • 10.1016/S0263-8223(97)00133-5
    • Kant, T., Marur, S. R., and, Rao, G. S. (1997). " Analytical solution to the dynamic analysis of laminated beams using higher order refined theory." Compos. Struct. COMSE2 0263-8223, 40 (1), 1-9. 10.1016/S0263-8223(97)00133-5
    • (1997) Compos. Struct. COMSE2 0263-8223 , vol.40 , Issue.1 , pp. 1-9
    • Kant, T.1    Marur, S.R.2    Rao, G.S.3
  • 29
    • 0024703597 scopus 로고
    • Recent advances in analysis of laminated beams and plates. I: Shear effects and buckling
    • 10.2514/3.10202
    • Kapania, K., and, Raciti, S. (1989). " Recent advances in analysis of laminated beams and plates. I: Shear effects and buckling." AIAA J. AIAJAH 0001-1452, 27 (7), 923-935. 10.2514/3.10202
    • (1989) AIAA J. AIAJAH 0001-1452 , vol.27 , Issue.7 , pp. 923-935
    • Kapania, K.1    Raciti, S.2
  • 30
    • 58649101396 scopus 로고    scopus 로고
    • Prediction capabilities of classical and shear deformable beam models excited by a moving mass
    • 10.1016/j.jsv.2008.08.010
    • Kiani, K., Nikkhoo, A., and, Mehri, B. (2009). " Prediction capabilities of classical and shear deformable beam models excited by a moving mass." J. Sound Vib. JSVIAG 0022-460X, 320 (3), 632-648. 10.1016/j.jsv.2008.08.010
    • (2009) J. Sound Vib. JSVIAG 0022-460X , vol.320 , Issue.3 , pp. 632-648
    • Kiani, K.1    Nikkhoo, A.2    Mehri, B.3
  • 31
    • 0030190448 scopus 로고    scopus 로고
    • Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling
    • 10.1006/jsvi.1996.0362
    • Marur, S. R., and, Kant, T. (1996). " Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling." J. Sound Vib. JSVIAG 0022-460X, 194 (3), 337-351. 10.1006/jsvi.1996.0362
    • (1996) J. Sound Vib. JSVIAG 0022-460X , vol.194 , Issue.3 , pp. 337-351
    • Marur, S.R.1    Kant, T.2
  • 32
    • 0032018721 scopus 로고    scopus 로고
    • Investigation of composite box beam dynamics using a higher-order theory
    • 10.1016/S0263-8223(98)00041-5
    • McCarthy, T. R., and, Chattopadhyay, A. (1998). " Investigation of composite box beam dynamics using a higher-order theory." Compos. Struct. COMSE2 0263-8223, 41 (3-4), 273-284. 10.1016/S0263-8223(98)00041-5
    • (1998) Compos. Struct. COMSE2 0263-8223 , vol.41 , Issue.34 , pp. 273-284
    • McCarthy, T.R.1    Chattopadhyay, A.2
  • 36
    • 0024928479 scopus 로고
    • A higher-order flexural beam theory
    • 10.1016/0045-7949(89)90400-8
    • Senjanović, I., and, Fan, Y. (1989). " A higher-order flexural beam theory." Comput. Struct. CMSTCJ 0045-7949, 32 (5), 973-986. 10.1016/0045-7949(89)90400-8
    • (1989) Comput. Struct. CMSTCJ 0045-7949 , vol.32 , Issue.5 , pp. 973-986
    • Senjanović, I.1    Fan, Y.2
  • 37
    • 0000944062 scopus 로고    scopus 로고
    • Finite element vibration analysis of composite beams based on higher-order beam theory
    • 10.1006/jsvi.1998.1903
    • Shi, G., and, Lam, K. Y. (1999). " Finite element vibration analysis of composite beams based on higher-order beam theory." J. Sound Vib. JSVIAG 0022-460X, 219 (4), 707-721. 10.1006/jsvi.1998.1903
    • (1999) J. Sound Vib. JSVIAG 0022-460X , vol.219 , Issue.4 , pp. 707-721
    • Shi, G.1    Lam, K.Y.2
  • 38
    • 0027912271 scopus 로고
    • Free vibration of anisotropic composite thin-walled beams of closed cross-section contour
    • 10.1006/jsvi.1993.1325
    • Song, O., and, Librescu, L. (1993). " Free vibration of anisotropic composite thin-walled beams of closed cross-section contour." J. Sound Vib. JSVIAG 0022-460X, 167 (1), 129-147. 10.1006/jsvi.1993.1325
    • (1993) J. Sound Vib. JSVIAG 0022-460X , vol.167 , Issue.1 , pp. 129-147
    • Song, O.1    Librescu, L.2
  • 39
    • 0030623168 scopus 로고    scopus 로고
    • Effects of shear deformation on buckling and free vibration of laminated composite beams
    • 10.1016/S0263-8223(97)00067-6
    • Song, S. J., and, Waas, A. M. (1997). " Effects of shear deformation on buckling and free vibration of laminated composite beams." Compos. Struct. COMSE2 0263-8223, 37 (1), 33-43. 10.1016/S0263-8223(97)00067-6
    • (1997) Compos. Struct. COMSE2 0263-8223 , vol.37 , Issue.1 , pp. 33-43
    • Song, S.J.1    Waas, A.M.2
  • 40
    • 34548125298 scopus 로고    scopus 로고
    • Free vibration analysis of beams by using a third-order shear deformation theory
    • 10.1007/s12046-007-0015-9
    • Simsek, M., and, Kocatürk, T. (2007). " Free vibration analysis of beams by using a third-order shear deformation theory." Sadhana-Acad. Proc. Eng. Sci. SAPSER 0256-2499, 32 (3), 167-179. 10.1007/s12046-007-0015-9
    • (2007) Sadhana-Acad. Proc. Eng. Sci. SAPSER 0256-2499 , vol.32 , Issue.3 , pp. 167-179
    • Simsek, M.1    Kocatürk, T.2
  • 41
    • 0000849966 scopus 로고
    • On the corrections for shear of the differential equation for transverse vibrations of prismatic bars
    • Timoshenko, S. P. (1921). " On the corrections for shear of the differential equation for transverse vibrations of prismatic bars." Philosophical Magazine PMHABF 1478-6435, 41, 744-746.
    • (1921) Philosophical Magazine PMHABF 1478-6435 , vol.41 , pp. 744-746
    • Timoshenko, S.P.1
  • 42
    • 0000868615 scopus 로고
    • On the transverse vibrations of bars of uniform cross section
    • Timoshenko, S. P. (1922). " On the transverse vibrations of bars of uniform cross section." Philosophical Magazine PMHABF 1478-6435, 43, 125-131.
    • (1922) Philosophical Magazine PMHABF 1478-6435 , vol.43 , pp. 125-131
    • Timoshenko, S.P.1
  • 44
    • 0004293737 scopus 로고
    • 4th Ed. Think Composites, Dayton.
    • Tsai, S. W. (1988). Composites Design, 4th Ed., Think Composites, Dayton.
    • (1988) Composites Design
    • Tsai, S.W.1
  • 45
    • 0022680733 scopus 로고
    • The joined-wing: An overview
    • 10.2514/3.45285
    • Wolkowich, J. (1986). " The joined-wing: An overview." J. Aircr. JAIRAM 0021-8669, 23 (3), 161-178. 10.2514/3.45285
    • (1986) J. Aircr. JAIRAM 0021-8669 , vol.23 , Issue.3 , pp. 161-178
    • Wolkowich, J.1
  • 46
    • 14044255810 scopus 로고    scopus 로고
    • Generalized Timoshenko theory of the variational asymptotic beam sectional analysis
    • 10.4050/1.3092842
    • Yu, W., and, Hodges, D. H. (2005). " Generalized Timoshenko theory of the variational asymptotic beam sectional analysis." J. Am. Helicopter Soc. JHESAK 0002-8711, 50 (1), 46-55. 10.4050/1.3092842
    • (2005) J. Am. Helicopter Soc. JHESAK 0002-8711 , vol.50 , Issue.1 , pp. 46-55
    • Yu, W.1    Hodges, D.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.