Global ETD Search
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Showing 1 to 20 of 72 for “"geometrically nonlinear"”.
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Geometrically Nonlinear Aeroelastic Scaling
… scaling methodologies are developed for geometrically nonlinear applications. The new methods are demonstrated by designing an aeroelastically scaled model of a suitably nonlinear full-scale joined-wing aircraft. The best of the methods produce scaled models that closely replicate the …
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Geometrically nonlinear configurations in rod-like structures
… nanometer to kilometer scale, and often undergo geometrically nonlinear deformation. Due to the slender geometry of the structures, the material strain usually remains in linear elastic limit even though the deformed geometry deviates significantly from the original geometry. The geometric …
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Geometrically Nonlinear Stress Recovery in Composite Laminates
… recovery to problems<br />in which geometric nonlinearities, in the sense of von K\\\'{a}rm\\\'{a}n, are<br />important. The current work presents a less complex formulation for the stress<br />recovery procedure for plate geometries, compared with other implementations,<br />and results in a …
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Modeling of geometrically nonlinear flexible structures for control
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1998.
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Gain scheduling for geometrically nonlinear flexible space structures
A gain-scheduling approach for the control of geometrically nonlinear structures is developed. The objective is to improve performance over current linear design techniques that are applied to the same control problem. The approach is applicable to a variety of structures that have complex dynamics …
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Geometrically nonlinear finite element analysis of space frames
… element or finite element can be used to model geometrically nonlinear behavior of space frames. The two element models are compared on the basis of their efficiency, accuracy, economy and limitations. An iterative approach, either Newton-Raphson iteration or modified Riks/Wempner iteration, is …
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Geometrically nonlinear finite element analysis of a lattice dome
… a lattice dome is presented. Linear analyses and geometrically nonlinear analyses of the dome are performed. In addition, a buckling load prediction method is studied and extended to the multiple load distributions. The results obtained from linear analyses are checked against the requirements of …
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Geometrically nonlinear analysis of layered anisotropic plates and shells
… medium is developed, and its use in the geometrically nonlinear, static as well as dynamic, analysis of layered composite plates and shells is demonstrated via several example problems. For comparison purposes, a two-dimensional finite element based on the Sanders shell theory with the …
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Geometrically nonlinear finite element analysis of a glulam timber dome
A finite element modeling and geometrically nonlinear static analysis of glued-laminated timber domes is presented. The modeling and analysis guidelines include: the generation of the geometry, the selection of finite elements to model the components of a dome (beams, purlins, connections, and …
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Dynamic instabilities in a system with geometrically nonlinear damping and stiffness
… of coupled oscillators possessing strongly nonlinear stiffness and damping is examined. The system consists of a linear oscillator coupled to a strongly nonlinear, light attachment, where the nonlinear terms of the system are realized due to geometric effects. It is shown that the effects of …
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A Geometrically nonlinear curved beam theory and its finite element formulation
This thesis presents a geometrically exact curved beam theory, with the assumption that the cross-section remains rigid, and its finite element formulation/implementation. The theory provides a theoretical view and an exact and efficient means to handle a large range of nonlinear beam problems. A …
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Geometrically nonlinear analysis for an elastic body by the boundary element method
… bodies undergoing large deformations. The nonlinear integral relationships for the problem are described and presented in detail according to a total Lagrangian approach. The domain is discretized by quadratic boundary elements and interior cells and the displacements of all interior nodes …
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A method for the geometrically nonlinear analysis of compressively loaded prismatic composite structures
A method was developed for the geometrically nonlinear analysis of the static response of thin-walled stiffened composite structures loaded in uniaxial or biaxial compression. The method is applicable to arbitrary prismatic configurations composed of linked plate strips, such as stiffened panels …
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Geometrically nonlinear analysis of composite laminates using a refined shear deformation shell theory
… anisotropy) shear deformation, and geometric nonlinearity on deflections and frequencies. Many of the numerical results presented here for laminated shells should serve as references for future investigations.
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Linear and geometrically nonlinear analysis of thin rotational shells using the finite element method
The complete elastic behaviour of rotational shell structures is investigated in the thesis, being presented in two major parts. Energy principles are implemented throughout - 'for the derivation of matrices utilizing the orthotropic strain energy expression developed by Ambartsumyan.<br/>
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A comparison of two models for geometrically nonlinear finite element analysis of plane frames
… to implement and compare two models for geometrically nonlinear finite element analysis of plane frames. One model is developed using classical beam-column theory, and the other is formulated using standard finite element techniques. The beam-column model is shown to converge to a more …
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Geometrically Nonlinear Analysis of Axially Symmetric, Composite Pressure Domes Using the Method of Multiple Shooting
An analysis is presented of the linear and geometrically nonlinear static response of "thin" doubly-curved shells of revolution, under internal pressure loading. The analysis is based upon direct numerical integration of the governing differential equations, written in first-order state vector …
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Special 2-D and 3-D Geometrically Nonlinear Finite Elements for Analysis of Adhesively Bonded Joints
… observed in adhesively bonded joints, geometric nonlinearity is modeled. 2-D and 3-D stress analyses of single lap joints are presented. Important 3-D effects can be appreciated. Fracture mechanics parameters are computed for both cases. A stress analysis of a crack patch geometry is presented. A …
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An introduction to geometrically nonlinear finite element stiffness analysis using the incremental step and equilibrium methods
The derivation of the beam-column element matrices and development of the incremental step method and of the equilibrium method are abstracted from other authors. Emphasis is placed on the consistency of the assumptions and restrictions imposed upon the element and the two methods. Two algorithms …
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Tracing the fundamental and secondary equilibrium paths of geometrically nonlinear space trusses using the modified Riks/Wempner method
… Riks/Wempner method was examined for elastic, geometrically nonlinear space trusses. A computer program, RWCNR, was developed using the Riks/Wempner algorithm. The study includes an examination of three trusses, of which two exhibit bifurcation. A method of branching onto secondary equilibrium …
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