BibTex RIS Kaynak Göster

Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method

Yıl 2011, Cilt: 3 Sayı: 4, 7 - 20, 01.12.2011

Öz

Differential Quadrature Method (DQM) has very wide applications in the field of structural vibration. The main advantages of the Differential Quadrature Method are its inherent conceptual simplicity and the fact that easily programmable. In this paper free vibration analysis of wall-frame structures were studied. A wall-frame structure was modeled as an cantilever beam in this study. The governing differential equation of wall-frame structures were solved using Differential Quadrature Method (DQM). At the end of the study, a sample taken from literature was solved and the results were evaluated in order to test the convenience of the method

Kaynakça

  • Balendra T, Swaddiwudhipong S, Quek S.T (1984), “Free Vibration of Asymmetric Shear Wall-Frame Buildings”, Earthquake Engineering and Structural Dynamics, 12,629-650
  • Basu A, Nagpal AK, Bajaj RS, Guliani A (1979), “Dynamic Characteristics of Coupled Shear Walls”, ASCE Journal of Structural Division, 105,16371651
  • Bilyap S (1979), “An Approximate Solution For High- Rise Reinforced Concrete Panel Buildings with Combined Diaphragms”, International Journal for Housing Science, 3(6),477-481
  • Boutin C, Hans S, Ibraim E, Roussilon P (2005),” In Situ Experiments and Seismic Analysis of Existing Buildings”, Stability of Braced, Partially Braced and Unbraced Frames; Classical Approach, Earthquake Engineering and Structural Dynamics, 12,1531-1546
  • Bozdogan KB (2009), “An Approximate Method For Static and Dynamic Analyses of Symmetric Wall-Frame Buildings”, The Structural Design of Tall and Special Buildings, 2009,18(3),279-290
  • Georgoussis KG (2006),” A Simple Model for Assessing and Modal Response Quantities in Symmetrical Buildings” , The Structural Design of Tall and Special Buildings, 15, 139-151.
  • Heidebrecht AC, Stafford Smith B (1973),” Approximate Analysis of Tall Wall-Frame Buildings”, ASCE Journal of Structural Division, 99(2),199-221
  • Hoenderkamp DCJ (2000),” Approximate Analysis of High-Rise Frames with Flexible Connections” , The Structural Design of Tall Buildings, 9, 233-248.
  • Hoenderkamp DCJ (2001),” Elastic Analysis of Asymmetric Tall Buildings”, The Structural Design of Tall Buildings, 10, 245-261.
  • 0. Hoenderkamp DCJ (2002), “A Simplified Analysis of High-Rise Structures with Cores” , The Structural Design of Tall Buildings, 11, 93-107.
  • 1. Kaviani P, Rahgozar R.,Saffari H (2008), “Approximate Analysis of Tall Buildings Using Sandwich Beam Models with Variable Cross-Section”, The Structural Design of Tall Buildings, 17(2),401-418.
  • 2. Kuang JS, Ng SC (2000),” Coupled Lateral Vibration of Asymmetric Shear Wall Structures”, Thin Walled Structures,38(2), 93-104
  • 3. Laier JE (2008),” An Improved Continuous Medium Technique For Structural Frame Analysis”, The Structural Design of Tall Buildings, 17,2538
  • 4. Lee J, Bang M, Kim JY (2008), “An Analytical Model For High- Rise WallFrame Structures with Outriggers” ,The Structural Design of Tall and Special Buildings,17 (4), 839-851
  • 5. Li GQ, Choo BS (1996),” A Continuous Discrete Approach to the Free Vibration Analysis of Stiffened Pierced Walls on Flexible Foundations” , International Journal of Solids and Structures,33(2),249-263
  • 6. Mancini E, Savassi W (1999),” Tall Buildings Structures Unified Plane Panels Behaviour”, The Structural Design of Tall Buildings ,8,155-170
  • 7. Meftah SA, Tounsi A (2008),” Vıbration Characteristics of Tall Buildings Braced by Shear Walls and Thin-Walled Open-Section Structures”, The Structural Design of Tall Buildings, 17,203-216
  • 8. Michel C, Hans S, Guegen P, Boutin C (2006), “In Situ Experiment and Modeling of RC Structure Using Ambient Vibration and Timoshenko Beam”, First European Conference on Earthquake Engineering and Seismology Geneva-Switzerland
  • 9. Miranda E (1999),” Approximate Lateral Drift Demands in Multi-Story Buildings Subjected to Earthquakes”, ASCE Journal of Structural Division, 125(4),417-425
  • 0. Miranda E, Reyes JC (2002),” Approximate Lateral Drift Demands in MultiStory Buildings with Nonuniform Stiffness”, ASCE Journal of Structural Division, 128(7),840-849
  • 1. Miranda E, Taghavi S (2005),” Approximate Floor Acceleration Demands in Multistorey Buildings I Fourmulation”, ASCE Journal of Structural Division, 131(2),203-211
  • 2. Miranda, E., Akkar,S.,Generalized Interstory Drift Spectrum, ASCE Journal of Structural Engineering, 132 (6), 840-852, 2006.
  • 3. Murashev V,Sigalov E,Baikov V (1972), Design of Reinforced Concrete Structures,Mir Publisher,Moscow
  • 4. Ng,SC, Kuang JS,(1999),”Triply Coupled Vibration of Asymmetric WallFrame Buildings”, ASCE Journal of Structural Division, 126(8), 982-987
  • 5. Nollet JM, Stafford Smith B (1993),” Behavior of Curtailed Wall-Frame Structures”, ASCE Journal of Structural Division, 119(10), 2835-2853
  • 6. Paknahad M, Noorzaei J, Jaafar MS, Waleed (2007),” Analysis of Shear Wall Structure Using Optimal Membrane Triangle Element”, Finite Elements ın Analysis and Design,861-869
  • 7. Potzta G, Kollar LP (2003), “Analysis of Building Structures by Replacement Sandwich Beams”, International Journal of Solids and Structures, 40, 535-553
  • 8. Rafezy B, Zare A, Howson PW (2007),” Coupled Lateral –Torsional Frequencies of Asymmetric, Three Dimensional Frame Structures”,International Journal of Solids and Structures,44,128-144
  • 9. Rafezy B,Howson, WP (2008),” Vibration Analysis of Doubly Asymmetric,Three Dimensional Structures Comprising Wall and Frame Assemblies with Variable Cross Section”, Journal of Sound and Vibration, 318 (1-2),247-266
  • 0. Reinoso E, Miranda E (2005), “Estimation of Floor Acceleration Demands in High Rise Buildings During Earthquakes”, The Structural Design of Tall and Special Buildings, 14,107-130
  • 1. Rosman R (1964).” Approximate Analysis of Shear Walls Subject to Lateral Loads”, Proceedings of the American Concrete Institute, 61(6),717-734
  • 2. Savassi W, Mancini E (2004),” One-Dimensional Finite Element Solution for Tall Building Structures Unified Plane Panels Formulation”, The Structural Design of Tall and Special Buildings,13(4),315-333
  • 3. Savassi,W, Mancini E (2009),” One-Dimensional Finite Element Solution for Non-Uniform Tall Building Structures and Loading”, The Structural Design of Tall and Special Buildings,18 ,441-453
  • 4. Stafford Smith B, Crowe E (1986), “Estimating Periods of Vibration of Tall Buildings”, ASCE Journal of Structural Division, 112(5),1005-1019
  • 5. Swaddiwudhipong S,Lee LS, Zhou Q (2001),” Effect of The Axial Deformation on Vibration of Tall Buildings”, The Structural Design of Tall Buildings, 10,79-91
  • 6. Taghavi S, Miranda E (2005),” Approximate Floor Acceleration Demands in Multistorey Buildings II: Applications”, ASCE Journal of Structural Division, 131(2),212-220
  • 7. Tarjan G, Kollar PL (2004),” Approximate Analysis of Building Structures with Identical Stories Subjected to Earthquakes”,International Journal of Solids and Structures,41(5-6),1411-1433
  • 8. Toutanji H (1997),”The Effect of Foundation Flexibility on The Interaction Of Walls and Frames”, Engineering Structures,19(12),1036-1042
  • 9. Wang Y, Arnaouti C, Guo S (2000), “A Simple Approximate Formulation for The First Two Frequencies of Asymmetric Wall-Frame Multi-Storey Building Structures”, Journal of Sound and Vibration, 236(1),141-160
  • 0. Zalka K (1994), “Mode Coupling in The Torsional Flexural Buckling of Regular Multistorey Buildings”, The Structural Design of Tall Buildings ,3,227-245
  • 1. Zalka K (2000), Global Structural Analysis,E-FN Spon Taylor and Francis Group,341 p
  • 2. Zalka K (2001), “A Simplified Method For Calculation of Natural Frequencies of Wall-Frame Buildings”, Engineering Structures, (23),15441555
  • 3. Zalka K (2002), “Buckling Analysis of Buildings Braced by Frameworks, Shear Walls and Cores”, The Structural Design of Tall Buildings, 11,197219.
  • 4. Zalka K (2003), “A Hand Method for Predicting the Stability of Regular Buildings, Using Frequency Measurements”, The Structural Design of Tall and Special Buildings, 12, 273-281.
  • 5. Zalka K (2009), “A Simple Method For The Deflection Analysis of TallWall-Frame Building Structures Under Horizontal Load”, The Structural Design of Tall and Special Buildings, 18 (3), 291-311
  • 6. Bellman, R.E., Casti, J., Differential Quadrature and Long Term Integration, J Math Anal Appl,(34), 235-238, 1971
  • 7. Bellman, R.E., Kashef, B.G., Casti, J., Differential Quadrature: a Technique for the Rapid Solution of Nonlinear Partial Differential Equations, J Comput Phys, (10), 40-52,1972
  • 8. Bert, C.W., Wang, Z., Striz, A. G., Differential Quadrature for Static and Free Vibration Analysis of Anisotropic Plates, International Journal of Solids and Structures, 30 (13), 1737–1744, 1993
  • 9. Bert, C.W., Malik, M., Free Vibration Analysis of Tapered Rectangular Plates by Differential Quadrature method: a Semi- Analytical Approach, Journal of Sound and Vibration, 190 (1), 41–63, 1996
  • 0. Bert, C.W., Malik, M., Differential Quadrature Method in Computational Mechanics: a Review, Applied Mechanics Review, 49 (1), 1–28.,1996
  • 1. Bert,C.W.,. Jang, S.K., Striz, A.G., Two New Approximate Methods for Analyzing Free Vibration of Structural Components, American Institute of Aeronautics and Astronautics Journal 26 (5), 612–618, 1987
  • 2. Liew, K.M., Teo, T.M., Han, J.B., Comparative Accuracy of DQ and HDQ Methods for Three-Dimensional Vibration Analysis of Rectangular Plates, International Journal for Numerical Methods in Engineering, 45 , 1831– 1848, 1999.
  • 3. Liew, K.M., Teo, T.M., Han, J.B, Three Dimensional Static Solutions of Rectangular Plates by Variant Differential Quadrature Method, International Journal of Mechanical Sciences, 43 (2001), 1611–1628, 2001
  • 4. Liew, K.M., Teo, T.M., Three Dimensional Vibration Analysis of Rectangular Plates Based on Differential Quadrature Method, Journal of Sound and Vibration, 220 (4), 577–599, 1999
  • 5. Shu, C., Richards, B.E., Application of Generalized Differential Quadrature to Solve Two-Dimensional Incompressible Navier–Stokes Equations, International Journal for Numerical Methods in Fluids, 15 ,791–798, 1992
  • 6. Shu, C., Xue, H., Explicit Computations of Weighting Coefficients in the Harmonic Differential Quadrature, Journal of Sound and Vibration, 204 (3),. 549–555, 1997.
  • 7. Striz, A.G, Jang, S.K, Bert, C.W, Nonlinear Bending Analysis of Thin Circular Plates by Differential Quadrature, Thin-Walled Structures, 6, 51– 62, 1988
  • 8. Striz, A.G., Wang, X., Bert, C.W , Harmonic Differential Quadrature Method and Applications to Analysis of Structural Components, Acta Mechanica,111,. 85–94, 1995.
  • 9. Civalek, Ö., Application of Differential Quadrature (DQ) and Harmonic Differential Quadrature (HDQ) for Buckling Analysis of Thin Isotropic Plates and Elastic Columns, Engineering Structures, 26, 171-186, 2004.
  • 0. Civalek, Ö., Ülker M., Harmonic Differential Quadrature (HDQ) for Axisymmetric Bending Analysis of Thin Isotropic Circular Plates, International Journal of Structural Engineering and Mechanics, 17 (1), 1–14, 2004.
  • 1. Civalek, Ö., Geometrically Nonlinear Dynamic Analysis of Doubly Curved Isotropic Shells Resting on Elastic Foundation by a Combination of HDQ– FD Methods, International Journal of Pressure Vessels and Piping, 82 (6), 470–479, 2005.
  • 2. Kaya, B., Solution of Advection-Diffusion Equation Using The Differential Quadrature Method, KSCE Journal of Civil Engineering, 14 (1), 69-75, 2010.
  • 3. Karami, G., Malekzadeh, P., Application of a New Differential Quadrature Methodology for Free Vibration Analysis of Plates, Int. J. Numer. Meth. Eng., 56 , 847–867,2003
  • 4. Malekzadeh, P., Farid, M., A DQ Large Deformation Analysis of Composite Plates on Nonlinear Elastic Foundations, Composite Structure, 79 (2007), 251–260, 2007
  • 5. Eftekhari, S. A.,Jafari , A.A., A New Mixed Finite Element-Differential Quadrature Formulation for Forced Vibration of Beams Carrying Moving Loads, Journal of Applied Mechanics, 2010 (In press).
Yıl 2011, Cilt: 3 Sayı: 4, 7 - 20, 01.12.2011

Öz

Kaynakça

  • Balendra T, Swaddiwudhipong S, Quek S.T (1984), “Free Vibration of Asymmetric Shear Wall-Frame Buildings”, Earthquake Engineering and Structural Dynamics, 12,629-650
  • Basu A, Nagpal AK, Bajaj RS, Guliani A (1979), “Dynamic Characteristics of Coupled Shear Walls”, ASCE Journal of Structural Division, 105,16371651
  • Bilyap S (1979), “An Approximate Solution For High- Rise Reinforced Concrete Panel Buildings with Combined Diaphragms”, International Journal for Housing Science, 3(6),477-481
  • Boutin C, Hans S, Ibraim E, Roussilon P (2005),” In Situ Experiments and Seismic Analysis of Existing Buildings”, Stability of Braced, Partially Braced and Unbraced Frames; Classical Approach, Earthquake Engineering and Structural Dynamics, 12,1531-1546
  • Bozdogan KB (2009), “An Approximate Method For Static and Dynamic Analyses of Symmetric Wall-Frame Buildings”, The Structural Design of Tall and Special Buildings, 2009,18(3),279-290
  • Georgoussis KG (2006),” A Simple Model for Assessing and Modal Response Quantities in Symmetrical Buildings” , The Structural Design of Tall and Special Buildings, 15, 139-151.
  • Heidebrecht AC, Stafford Smith B (1973),” Approximate Analysis of Tall Wall-Frame Buildings”, ASCE Journal of Structural Division, 99(2),199-221
  • Hoenderkamp DCJ (2000),” Approximate Analysis of High-Rise Frames with Flexible Connections” , The Structural Design of Tall Buildings, 9, 233-248.
  • Hoenderkamp DCJ (2001),” Elastic Analysis of Asymmetric Tall Buildings”, The Structural Design of Tall Buildings, 10, 245-261.
  • 0. Hoenderkamp DCJ (2002), “A Simplified Analysis of High-Rise Structures with Cores” , The Structural Design of Tall Buildings, 11, 93-107.
  • 1. Kaviani P, Rahgozar R.,Saffari H (2008), “Approximate Analysis of Tall Buildings Using Sandwich Beam Models with Variable Cross-Section”, The Structural Design of Tall Buildings, 17(2),401-418.
  • 2. Kuang JS, Ng SC (2000),” Coupled Lateral Vibration of Asymmetric Shear Wall Structures”, Thin Walled Structures,38(2), 93-104
  • 3. Laier JE (2008),” An Improved Continuous Medium Technique For Structural Frame Analysis”, The Structural Design of Tall Buildings, 17,2538
  • 4. Lee J, Bang M, Kim JY (2008), “An Analytical Model For High- Rise WallFrame Structures with Outriggers” ,The Structural Design of Tall and Special Buildings,17 (4), 839-851
  • 5. Li GQ, Choo BS (1996),” A Continuous Discrete Approach to the Free Vibration Analysis of Stiffened Pierced Walls on Flexible Foundations” , International Journal of Solids and Structures,33(2),249-263
  • 6. Mancini E, Savassi W (1999),” Tall Buildings Structures Unified Plane Panels Behaviour”, The Structural Design of Tall Buildings ,8,155-170
  • 7. Meftah SA, Tounsi A (2008),” Vıbration Characteristics of Tall Buildings Braced by Shear Walls and Thin-Walled Open-Section Structures”, The Structural Design of Tall Buildings, 17,203-216
  • 8. Michel C, Hans S, Guegen P, Boutin C (2006), “In Situ Experiment and Modeling of RC Structure Using Ambient Vibration and Timoshenko Beam”, First European Conference on Earthquake Engineering and Seismology Geneva-Switzerland
  • 9. Miranda E (1999),” Approximate Lateral Drift Demands in Multi-Story Buildings Subjected to Earthquakes”, ASCE Journal of Structural Division, 125(4),417-425
  • 0. Miranda E, Reyes JC (2002),” Approximate Lateral Drift Demands in MultiStory Buildings with Nonuniform Stiffness”, ASCE Journal of Structural Division, 128(7),840-849
  • 1. Miranda E, Taghavi S (2005),” Approximate Floor Acceleration Demands in Multistorey Buildings I Fourmulation”, ASCE Journal of Structural Division, 131(2),203-211
  • 2. Miranda, E., Akkar,S.,Generalized Interstory Drift Spectrum, ASCE Journal of Structural Engineering, 132 (6), 840-852, 2006.
  • 3. Murashev V,Sigalov E,Baikov V (1972), Design of Reinforced Concrete Structures,Mir Publisher,Moscow
  • 4. Ng,SC, Kuang JS,(1999),”Triply Coupled Vibration of Asymmetric WallFrame Buildings”, ASCE Journal of Structural Division, 126(8), 982-987
  • 5. Nollet JM, Stafford Smith B (1993),” Behavior of Curtailed Wall-Frame Structures”, ASCE Journal of Structural Division, 119(10), 2835-2853
  • 6. Paknahad M, Noorzaei J, Jaafar MS, Waleed (2007),” Analysis of Shear Wall Structure Using Optimal Membrane Triangle Element”, Finite Elements ın Analysis and Design,861-869
  • 7. Potzta G, Kollar LP (2003), “Analysis of Building Structures by Replacement Sandwich Beams”, International Journal of Solids and Structures, 40, 535-553
  • 8. Rafezy B, Zare A, Howson PW (2007),” Coupled Lateral –Torsional Frequencies of Asymmetric, Three Dimensional Frame Structures”,International Journal of Solids and Structures,44,128-144
  • 9. Rafezy B,Howson, WP (2008),” Vibration Analysis of Doubly Asymmetric,Three Dimensional Structures Comprising Wall and Frame Assemblies with Variable Cross Section”, Journal of Sound and Vibration, 318 (1-2),247-266
  • 0. Reinoso E, Miranda E (2005), “Estimation of Floor Acceleration Demands in High Rise Buildings During Earthquakes”, The Structural Design of Tall and Special Buildings, 14,107-130
  • 1. Rosman R (1964).” Approximate Analysis of Shear Walls Subject to Lateral Loads”, Proceedings of the American Concrete Institute, 61(6),717-734
  • 2. Savassi W, Mancini E (2004),” One-Dimensional Finite Element Solution for Tall Building Structures Unified Plane Panels Formulation”, The Structural Design of Tall and Special Buildings,13(4),315-333
  • 3. Savassi,W, Mancini E (2009),” One-Dimensional Finite Element Solution for Non-Uniform Tall Building Structures and Loading”, The Structural Design of Tall and Special Buildings,18 ,441-453
  • 4. Stafford Smith B, Crowe E (1986), “Estimating Periods of Vibration of Tall Buildings”, ASCE Journal of Structural Division, 112(5),1005-1019
  • 5. Swaddiwudhipong S,Lee LS, Zhou Q (2001),” Effect of The Axial Deformation on Vibration of Tall Buildings”, The Structural Design of Tall Buildings, 10,79-91
  • 6. Taghavi S, Miranda E (2005),” Approximate Floor Acceleration Demands in Multistorey Buildings II: Applications”, ASCE Journal of Structural Division, 131(2),212-220
  • 7. Tarjan G, Kollar PL (2004),” Approximate Analysis of Building Structures with Identical Stories Subjected to Earthquakes”,International Journal of Solids and Structures,41(5-6),1411-1433
  • 8. Toutanji H (1997),”The Effect of Foundation Flexibility on The Interaction Of Walls and Frames”, Engineering Structures,19(12),1036-1042
  • 9. Wang Y, Arnaouti C, Guo S (2000), “A Simple Approximate Formulation for The First Two Frequencies of Asymmetric Wall-Frame Multi-Storey Building Structures”, Journal of Sound and Vibration, 236(1),141-160
  • 0. Zalka K (1994), “Mode Coupling in The Torsional Flexural Buckling of Regular Multistorey Buildings”, The Structural Design of Tall Buildings ,3,227-245
  • 1. Zalka K (2000), Global Structural Analysis,E-FN Spon Taylor and Francis Group,341 p
  • 2. Zalka K (2001), “A Simplified Method For Calculation of Natural Frequencies of Wall-Frame Buildings”, Engineering Structures, (23),15441555
  • 3. Zalka K (2002), “Buckling Analysis of Buildings Braced by Frameworks, Shear Walls and Cores”, The Structural Design of Tall Buildings, 11,197219.
  • 4. Zalka K (2003), “A Hand Method for Predicting the Stability of Regular Buildings, Using Frequency Measurements”, The Structural Design of Tall and Special Buildings, 12, 273-281.
  • 5. Zalka K (2009), “A Simple Method For The Deflection Analysis of TallWall-Frame Building Structures Under Horizontal Load”, The Structural Design of Tall and Special Buildings, 18 (3), 291-311
  • 6. Bellman, R.E., Casti, J., Differential Quadrature and Long Term Integration, J Math Anal Appl,(34), 235-238, 1971
  • 7. Bellman, R.E., Kashef, B.G., Casti, J., Differential Quadrature: a Technique for the Rapid Solution of Nonlinear Partial Differential Equations, J Comput Phys, (10), 40-52,1972
  • 8. Bert, C.W., Wang, Z., Striz, A. G., Differential Quadrature for Static and Free Vibration Analysis of Anisotropic Plates, International Journal of Solids and Structures, 30 (13), 1737–1744, 1993
  • 9. Bert, C.W., Malik, M., Free Vibration Analysis of Tapered Rectangular Plates by Differential Quadrature method: a Semi- Analytical Approach, Journal of Sound and Vibration, 190 (1), 41–63, 1996
  • 0. Bert, C.W., Malik, M., Differential Quadrature Method in Computational Mechanics: a Review, Applied Mechanics Review, 49 (1), 1–28.,1996
  • 1. Bert,C.W.,. Jang, S.K., Striz, A.G., Two New Approximate Methods for Analyzing Free Vibration of Structural Components, American Institute of Aeronautics and Astronautics Journal 26 (5), 612–618, 1987
  • 2. Liew, K.M., Teo, T.M., Han, J.B., Comparative Accuracy of DQ and HDQ Methods for Three-Dimensional Vibration Analysis of Rectangular Plates, International Journal for Numerical Methods in Engineering, 45 , 1831– 1848, 1999.
  • 3. Liew, K.M., Teo, T.M., Han, J.B, Three Dimensional Static Solutions of Rectangular Plates by Variant Differential Quadrature Method, International Journal of Mechanical Sciences, 43 (2001), 1611–1628, 2001
  • 4. Liew, K.M., Teo, T.M., Three Dimensional Vibration Analysis of Rectangular Plates Based on Differential Quadrature Method, Journal of Sound and Vibration, 220 (4), 577–599, 1999
  • 5. Shu, C., Richards, B.E., Application of Generalized Differential Quadrature to Solve Two-Dimensional Incompressible Navier–Stokes Equations, International Journal for Numerical Methods in Fluids, 15 ,791–798, 1992
  • 6. Shu, C., Xue, H., Explicit Computations of Weighting Coefficients in the Harmonic Differential Quadrature, Journal of Sound and Vibration, 204 (3),. 549–555, 1997.
  • 7. Striz, A.G, Jang, S.K, Bert, C.W, Nonlinear Bending Analysis of Thin Circular Plates by Differential Quadrature, Thin-Walled Structures, 6, 51– 62, 1988
  • 8. Striz, A.G., Wang, X., Bert, C.W , Harmonic Differential Quadrature Method and Applications to Analysis of Structural Components, Acta Mechanica,111,. 85–94, 1995.
  • 9. Civalek, Ö., Application of Differential Quadrature (DQ) and Harmonic Differential Quadrature (HDQ) for Buckling Analysis of Thin Isotropic Plates and Elastic Columns, Engineering Structures, 26, 171-186, 2004.
  • 0. Civalek, Ö., Ülker M., Harmonic Differential Quadrature (HDQ) for Axisymmetric Bending Analysis of Thin Isotropic Circular Plates, International Journal of Structural Engineering and Mechanics, 17 (1), 1–14, 2004.
  • 1. Civalek, Ö., Geometrically Nonlinear Dynamic Analysis of Doubly Curved Isotropic Shells Resting on Elastic Foundation by a Combination of HDQ– FD Methods, International Journal of Pressure Vessels and Piping, 82 (6), 470–479, 2005.
  • 2. Kaya, B., Solution of Advection-Diffusion Equation Using The Differential Quadrature Method, KSCE Journal of Civil Engineering, 14 (1), 69-75, 2010.
  • 3. Karami, G., Malekzadeh, P., Application of a New Differential Quadrature Methodology for Free Vibration Analysis of Plates, Int. J. Numer. Meth. Eng., 56 , 847–867,2003
  • 4. Malekzadeh, P., Farid, M., A DQ Large Deformation Analysis of Composite Plates on Nonlinear Elastic Foundations, Composite Structure, 79 (2007), 251–260, 2007
  • 5. Eftekhari, S. A.,Jafari , A.A., A New Mixed Finite Element-Differential Quadrature Formulation for Forced Vibration of Beams Carrying Moving Loads, Journal of Applied Mechanics, 2010 (In press).
Toplam 65 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA65ZM39YH
Bölüm Makaleler
Yazarlar

Kanat Burak Bozdogan Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 3 Sayı: 4

Kaynak Göster

APA Bozdogan, K. B. (2011). Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method. International Journal of Engineering and Applied Sciences, 3(4), 7-20.
AMA Bozdogan KB. Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method. IJEAS. Aralık 2011;3(4):7-20.
Chicago Bozdogan, Kanat Burak. “Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method”. International Journal of Engineering and Applied Sciences 3, sy. 4 (Aralık 2011): 7-20.
EndNote Bozdogan KB (01 Aralık 2011) Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method. International Journal of Engineering and Applied Sciences 3 4 7–20.
IEEE K. B. Bozdogan, “Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method”, IJEAS, c. 3, sy. 4, ss. 7–20, 2011.
ISNAD Bozdogan, Kanat Burak. “Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method”. International Journal of Engineering and Applied Sciences 3/4 (Aralık 2011), 7-20.
JAMA Bozdogan KB. Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method. IJEAS. 2011;3:7–20.
MLA Bozdogan, Kanat Burak. “Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method”. International Journal of Engineering and Applied Sciences, c. 3, sy. 4, 2011, ss. 7-20.
Vancouver Bozdogan KB. Free Vibration Analysis of Wall-Frame Structures by Differential Quadrature Method. IJEAS. 2011;3(4):7-20.

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