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Direct stiffness method

About: Direct stiffness method is a research topic. Over the lifetime, 2584 publications have been published within this topic receiving 53131 citations.


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Journal ArticleDOI
TL;DR: In this article, the transient response of a transversely isotropic multilayered half-space under vertical loadings was investigated by assembling the analytical layer-element of each layer medium.

13 citations

01 Jan 2009
TL;DR: In this paper, a Matlab-FEM code was developed for deformation analysis of sails as a MSc final project, where sails are modelled as isotropic homogeneous membranes reinforced with cables.
Abstract: A Matlab-FEM code has been developed for deformation analysis of sails as a MSc final project. Sails are modelled as isotropic homogeneous membranes reinforced with cables. The problem, fully non-linear, is resolved by assembling the global stiffness matrix of a mesh of membrane and cable elements in the MatlabTM environment to get an N-equations N-unknowns system. The solution is found with a Quasi- Newton solver. Validation has been performed by comparing numerical results obtained from the developed code with analytical solutions of geometrically simple cases and with experimental data from tests carried out in the DINAV Ship Structures laboratory. A full Fluid Structure Interaction (FSI) analysis of a main sail has been carried out coupling the code with an aerodynamics panel code developed as another MSc final project (Vernengo, 2008). The result is in accordance with the physics of the phenomena and engineering judgment.

13 citations

Journal ArticleDOI
Wenbin Ye1, Zhongcheng Li, Jun Liu1, Quansheng Zang1, Gao Lin1 
TL;DR: In this paper, a semi-analytical numerical model was developed to analyze the bending responses of the angle-ply composite laminated cylindrical shells with the fiber reinforced layers using the scaled boundary finite element method (SBFEM).
Abstract: This paper develops a high-performance semi-analytical numerical model to analyze the bending responses of the angle-ply composite laminated cylindrical shells with the fiber reinforced layers using the scaled boundary finite element method (SBFEM). As the thin-walled structures, the angle-ply composite laminated shells are assumed to be made of orthotropic materials in the cylindrical coordinate system. Both the geometric and basic variables are discretized by utilizing the two-dimensional (2D) high order spectral elements in the curved surface domain of the shells. According to the exact three-dimensional (3D) theory of elasticity rather than the approximate shell theories, the weak form of the partial differential governing equations for each layer of the composite laminated cylindrical shells in the cylindrical coordinate system are transformed into ordinary differential equations using the SBFEM. In the circumstances, there are no variables about the curved surface of shell in the SBFEM governing equations for each lamina, so that it can be analytically solved on the basis of the dual variable approach and the precise integration technique (PIT). Employing the interface continuity conditions of displacement between the layers, the complete SBFEM model with respect to the global stiffness matrix of the composite laminated cylindrical shell can be obtained. Unlike the general layerwise theories, which supposes that the basic variables varied linearly with the thickness coordinate, the through-thickness distributions of the displacement field in each discrete layer is assumed to be a quadratic polynomial with respect to the radial coordinate in this paper, thus the through-thickness stress field can be described more accurate. Numerical examples for solving the bending problem of composite laminated cylindrical shells are presented. As a result, the numerical efficiency, accuracy and applicability of the proposed formulations are confirmed by the comparison of the published results involving the distributions of the displacements and stresses through the thickness and along the circumferential direction for different staking configurations, geometric properties and boundary conditions.

13 citations

Journal ArticleDOI
TL;DR: In this paper, a model of three-dimensional n-directional (n = 5, full-5, 6, or 7) braided structures is established based on the internal structures of a 3D braided composite.
Abstract: Parameterized unit-cell models of three-dimensional n-directional (n = 5, full-5, 6, or 7) braided structures are established based on the internal structures of three-dimensional braided composite

13 citations

Journal ArticleDOI
TL;DR: The authors describes the use of 3D printing, via the flexural stiffness of plane frames, to develop a structural feel for students, augmenting theoretical analyses, directly addressing the role of modeling, approximation, applicability of the underlying theory, and measurement uncertainty, it is thoroughly hands on and initial anecdotal evidence suggests a higher degree of student buy-in.

13 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202334
202270
202123
202022
201930
201842