Abstract
The article reviews some aspects of simulation of static and dynamic conditions of building bearing structures due to its necessity for durability estimation. The main method of this simulation is Finite Super-Element Method (FSEM), which is characterized by its main principle «One rod - one super-element». This element, called a super-element, may be a part of a larger multi-body system or it may be an entire mechanical system. The main algorithm of FSEM modelling focused on possible variation of bearing structure is given.
Highlights
For the simulation core supporting structure the most suitable method of super-elements (FEM) in the variant of the method of the displacements. [1, 2] In this case, due to the use of the Lagrange&D'Alembert variational principle and arbitrary functions of shape the resolving set of equations has the meaning of static or dynamic equations of equilibrium with symmetrical stiffness and mass matrices
Every finite element is described with its own stiffness matrix, load vector and mass matrix
The structure model is a result of the summation of lines of all elements stiffness matrices, representing internal forces projections and the summation of vector load components, representing external forces projections on global coordinates system, acting on the nodes of one element
Summary
For the simulation core supporting structure the most suitable method of super-elements (FEM) in the variant of the method of the displacements. [1, 2] In this case, due to the use of the Lagrange&D'Alembert variational principle and arbitrary functions of shape the resolving set of equations has the meaning of static or dynamic equations of equilibrium with symmetrical stiffness and mass matrices. Every finite element is described with its own stiffness matrix, load vector and mass matrix (for dynamic analysis only). The structure model is a result of the summation of lines of all elements stiffness matrices, representing internal forces projections and the summation of vector load components, representing external forces projections on global coordinates system, acting on the nodes of one element. An integration of all nodal unknown variable (node displacements) for each node is the most rational. For rod systems it is attributed six degrees of freedom to each node, three of them are linear displacements and three other are angle of rotation relative to the global coordinate axes
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