Nonlinear finite element analysis of laminated composite beams subjected to harmonic excitations using a 20 DOF beam element
| العنوان: | Nonlinear finite element analysis of laminated composite beams subjected to harmonic excitations using a 20 DOF beam element |
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| المؤلفون: | Kenareh, Mansour Nostrati, Habib Eslami, Frank Radosta, Sathya Gangadharan, Kenareh, Mansour Nosrati |
| Added Details: | Eslami, Habib advisor Embry-Riddle Aeronautical University. Department of Aerospace Engineering. |
| Call Numbers: | TA664 .K46 1994eb |
| وصف مادي: | 1 online resource (xi, 59 leaves) : illustrations |
| مستخلص: | The purpose of this Thesis is to study the nonlinear analysis of antisymmetrically laminated composite beams including shear deformation subjected to harmonic excitation, using a 20-degree of freedom finite element beam. The beam has 10 degrees of freedom at each node: The axial displacements, the transverse deflection due to bending and transverse shear, the twisting angle, the in-plane shear rotation, and their derivatives along the axial direction. In this study, the effect of different parameters such as damping, shear deformation and different edge conditions on the steady-state frequency-responce will be investigated. The analysis was based on the use of finite element methodology for composite laminated beam structures. The harmonic force matrix represents the externally applied force in matrix form, instead of a vector form. Thus the analysis of nonlinear forced vibration can be performed efficiently to get a converged solution. The analysis was also based on the nonlinear stiffness matrix and both in-plane longitudinal, and transverse deflections are included in the formulation. The amplitude-frequency ratios for different boundary conditions, lamination angles, number of plies and thickness to length ratios are presented. The finite element results are compared with available approximate continuum solutions. |
| الموضوعات: | Composite construction Testing., Laminated materials Testing., Shear (Mechanics), Finite element method., Harmonics (Electric waves), Girders., Cisaillement (Mécanique), Méthode des éléments finis., Harmoniques (Ondes électriques), Poutres., shear stress., Composite construction Testing, Finite element method, Girders, Harmonics (Electric waves), Laminated materials Testing, Shear (Mechanics) |
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| الاتاحة: | Open access content. Open access content |
| ملاحظة: | Also available in print. "Daytona Beach, Florida, May 1994." Acknowledgements ; Abstract ; List of tables ; List of figures ; Nomenclature -- 1. Introduction. 1.1. Motivation ; 1.2. Review of literature ; 1.3. Scope of this thesis -- 2. Finite element : linear analysis. 2.1. Basic concepts ; 2.2. Shear deformation ; 2.3. Element equation of motion with effects of shear deformation ; 2.4. Displacement function for beam element ; 2.5. Lamina constitutive relations. 2.5.1. Resultant laminate force and moments ; 2.5.2. Lamina stiffness ; 2.6. Strain and displacement relations ; 2.7. Element elastic stiffness matrix ; 2.8. Element mass matrix ; 2.9. Gaussian quadrature -- 3. Finite element method : non-linear analysis. 3.1. Geometrically nonlinear phenomenon ; 3.2. Nonlinear strain and curvature-displacement relations ; 3.3. Evaluation of nonlinear element stiffness matrix ; 3.4. Nonlinear vibrations ; 3.5. Nonlinear free vibration ; 3.6. Nonlinear harmonic excitation -- 4. Results. 4.1. Isotropic beam ; 4.2. Laminated beam ; 4.3. Effect of laminate fiber orientation ; 4.4. Effect of number of layers ; 4.5. Effect of boundary conditions -- 5. Conclusion. 5.1. Further studies -- References -- Appendix. A. Free and forced vibration graphs ; B. Out put of program ; C. Listing of program. |
| Other Numbers: | FER oai:commons.erau.edu:db-theses-1139 1014343287 |
| المصدر المساهم: | From OAIster®, provided by the OCLC Cooperative. |
| رقم الانضمام: | edsoai.on1014343287 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |