Correction method of bridge static finite element model based on superelement combined with virtual deformation method
A model correction and finite element technology, which is applied in the field of finite element model correction, can solve the problems of low finite element model correction efficiency and inability to meet the needs of large and complex bridge finite element model correction, so as to improve efficiency, ensure calculation accuracy, and improve calculation efficiency Effect
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specific Embodiment approach 1
[0022] Specific implementation mode one: the following combination figure 1 Describe this embodiment, the bridge static finite element model correction method based on superelement combined with virtual deformation method described in this embodiment, the specific process of this method is:
[0023] Step 1: Use superelement technology to polycondense the initial finite element model of the bridge structure to obtain the condensed finite element model of the bridge structure;
[0024] Step 2: According to the finite element polycondensation model of the bridge structure obtained in step 1, a proxy model of the finite element model of the bridge structure is established in combination with the virtual deformation method;
[0025] Step 3: According to the proxy model of the finite element model of the bridge structure obtained in step 2, the finite element model of the bridge structure is corrected based on the static information.
[0026] In this embodiment, the virtual deforma...
specific Embodiment approach 2
[0027] Specific implementation mode two: the following combination figure 1 Describe this embodiment, this embodiment will further explain Embodiment 1, the specific process of obtaining the condensed bridge structure finite element model described in step 1 is:
[0028] Step 11, assume that the bridge structure contains n degrees of freedom, and its characteristic equation is expressed as:
[0029]
[0030] In the formula, λ i and represent the eigenvalues and eigenvectors of the bridge structure respectively, where i=1,2,3...n; K and M represent the stiffness matrix and mass matrix respectively;
[0031] Step 1 and 2, let x denote the displacement and eigenvector at the same time, and divide the displacement vector into the main degree of freedom direction x m and from the degree of freedom direction x s , where m and s represent the master degrees of freedom and slave degrees of freedom respectively, and the stiffness matrix is divided into four sub-matrices K a...
specific Embodiment approach 3
[0043] Specific implementation mode three: the following combination figure 1 Describe the present embodiment, this embodiment will further explain the embodiment 1, the specific process of establishing the proxy model of the bridge structure finite element model described in step 2 is:
[0044] Step 21: Perform eigenvalue analysis on the stiffness matrix of the space beam unit to obtain six deformation forms of the space beam unit. In the local coordinate system, the relationship between the strain transformation matrix of the unit, the displacement of the unit nodes and the generalized strain of the unit is :
[0045]
[0046] In the formula: ε represents the generalized strain vector of the element, in the form of ε=[ξ,χ xz ,χ xy ,κ xz ,γ,κ xy ] T ;
[0047] ξ represents the generalized strain under the axial deformation form of the element along the x direction;
[0048] x xz Represents the generalized strain of the unit in the deformation form of the coupling o...
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