Dissertation > Excellent graduate degree dissertation topics show

On the Finite Difference Method Based on the Principle of Variation of the Bending Problem of Plate with Beam-strengthened Edges

Author: WangMengZuo
Tutor: QuXiaoGang
School: Xi'an University of Architecture and Technology
Course: Computational Mathematics
Keywords: Combination elastic structure Edge beam Natural boundary conditions Variational principle Variational - Difference Method
CLC: O241.82
Type: Master's thesis
Year: 2007
Downloads: 43
Quote: 0
Read: Download Dissertation


Side beams reinforced with plate bending problem , the equilibrium equation model for the fourth-order boundary value problems for elliptic partial differential equations , which relate to the natural boundary conditions along the plate edges tangent and normal direction higher order derivatives , for non- uniform, varying the thickness of the plate , the problem also has a \This problem is the variational model start variational - Difference method to construct the boundary value problem of a differential format. Since the method is capable of binding equilibrium equation model boundary conditions along the edge of the board to eliminate the higher order derivative terms , therefore , the resulting difference operator depends only on the plate surface mesh nodes, and keep the difference operator symmetry positive definite nature . Meanwhile, for the resulting differential equations written MATLAB program , will have to get on a computer algorithm was simulated and compared with the existing literature calculations . The results showed that the proposed algorithm has given a higher accuracy, the algorithm can be used to quantitatively bulletin board edge beam interaction with the law , to provide reference for engineering design .

Related Dissertations

  1. Behavior Analysis and Optimal Control of Biological Population Dynamical Systems with Size-Structure,O232
  2. Simulation About Compatibility Torsion of Spandrel Beams in A Cast-in-place Reinforced Concrete Beam-slab System,TU375
  3. Beam - column structure nonlinear mathematical model and application,TU323
  4. Structure Optimal Design in Soil Nailing Based on Variational Principle,TU753
  5. Test and Analysis of Compatibility Torsion in the Floor System with Monolithic Slab,TU375
  6. Based on Level Set method for image segmentation technology research,TP391.41
  7. On the Finite Difference Method Based on the Principle of Variation of a Kind of Compounding Elastic Structure,O241
  8. Non-linear Bending of Ultra-Thin Plate-Type Nano-Materials,TB383.1
  9. Generalization of Drop Theorem and Some Relational Theorems in Locally Convex Spaces,O177.3
  10. On the method of weighted residuals and variational principles Relations,O302
  11. The dynamic elastoplastic softening parametric analysis principle and finite element method,O342
  12. Vector Equilibrium Problems and Ekeland’s Variational Principle for Set-Valued Mappings,O177
  13. Groupoid in the field of discrete,O152.5
  14. Application of the Variation Method to the Primary Study of Aeroelasticity,V211.47
  15. The Applications of Nonsmooth Version Ricceri’s Variational Principle to the p(x)-Laplacian Equation,O175.8
  16. Numerical Methods for Linear Systems from Fictitious Domain Methods,O241.6
  17. Theory of Viscoelastic Solids with Voids and Quasi-Static and Dynamical Analysis for Structures,O345
  18. Pseudo-potential Model and Variational Method for Direct/Inverse Problems of 3-D Compressible Rotational Flow in a Rotating System,O29
  19. Research on the Quasi-variational Principles of Non-conservative System and Their Application,O316
  20. Study of Quantum Solitons in One-dimensional Nonlinear Lattice Models,O415

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
© 2012 www.DissertationTopic.Net  Mobile