 Engineer's Studio (R) Ver.1.03 |
3D plate dynamic non-linear analysis |
Introduction4 of the main revisions in Engineer's Studio(R) Ver 1.03.00 are as follows.
- Able to input node mass onto a graph
- Initial section force of beam element
- Eigenvalue analysis in considering geometric rigidity
- Display contour chart of plate element
| Input node mass into a graph. Mass can now be directly applied to the node (figure 1). On one node, 3 components of translational direction (X, Y, Z of the entire coordinate system) and 3 components of rotational inertia mass (Around X axis, around Y axis, around Z axis of the entire coordinate system), a total of 6 components, are applied. Node mass can also be computed from elements.& nbsp; By clicking the "Calculate from elements" button, the result can be computed automatically. Node mass is enabled when "Creation method of mass matrix" in the model settings window is specified as "Concentrated mass" (Figure 3). Although concentrated mass method is known as a method that is not very precise, it is often used because the concept is simple and because internal mass matrix is only shown as diagonal element, that results in an easy matrix calculation. When node mass is applied in a graph format; dead load and seismic static load, which are computed automatically by the program, are also reflected as the concentrated load on the node. |
  figure1 Input node mass onto a graph |
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| Initial section force of beam element Inital sectional force can now be set on beam element (figure 2). Not only members, but spring element can also be applied. Initial section force is the force realized as initial stress state before weight is loaded. For beam element, bending moment, shear force, and axial tension of end material is applied. For spring element, force in of xl direction, force in yl direction, force in zl direction, and moment of the area around each of their axis on spring element's element coordinates are applied. In this version, initial section force cannot be applied to plate element, however, we are planning to make this possible in the future. |
 Figure 2 Initial section force of beam element |
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| Eigenvalue analysis in considering geometric rigidity In the eigenvalue analysis, eigenvalue intensity number ƒÖ is found by solving |[K]-ƒÖ2 [M]|=0 with [K] being rigidity matrix and [M] being mass matrix. Up until now, linear elasticity's rigidity matrix [K0] was being used for rigidity matrix ([K]= [K0]). In this version, geometric rigidity [KG] can also be considered. When geometric rigidity is considered, [K] in the above formula becomes [K]= [K0]+[KG]. It is specified in "Eigenvalue analysis option" in the model settings window (figure 3). Initial section force must be set in order to create [KG]. |
 Figure 3 Model settings window |
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| Contour Chart of Plate Element The result of plate element is visualized on a full color contour chart (figure 4). Results that can be displayed on contour chart are deformation, stress, distortion, curvarture, and section force (inplane vertical force, plane bending moment, plane shear force). Even if the Plate element is elasticity element or non-linear element, these results can be displayed. The number of elements tend to increase if the infrastructure is modelled using plate element. As the number of elements increase, the result of calculation will also increase. For this reason, keeping all the results in every step of the analysis is difficult. This program saves all the results related to the node (deformation, counterforce) ; and the step where the type of the concerned result becomes the maximum and minimumm, in the result related to element. Therefore, animation function where the color of contour chart changes in ascending order from step 1, is for deformation only. Contour chart that displays element's stress, distortion, curvature, and section force is actually the contour chart for the step where each of these numerical value becomes the maximum(maximum positive number) or minimum (minimum negative number) within the whole model. Contour chart for deformation and model's deformation state can be animated simultaneously. Through this animation, you can watch how the contour chart displaying a part gradually changes color as the deformation of that part gets bigger. |
 Figure 4 Display plate element on contour chart |
