An improved model updating method of reduced-models for finite element model

Most of exiting model updating methods based on the substructure matrices did not consider the effect of model reduction process on model updating which led to the updating results could not become more and more accurate with the improvement of the model reduction precision and the convergence rate was greatly reduced. In order to solve this problem, this paper analyses the basic reason about this problem, and proposes an improved model updating method of reduced-models, named as improved reduced cross-model cross-mode (IRCMCM) method. The proposed method eliminates the disadvantageous effect by adding a correction term to the model updating formula and employing an iterative process. The results obtained by the referenced method and IRCMCM method are compared by numerical examples of satellite’s plates, which indicate the model updating results are more accurate by using the proposed method, and the model updating precision becomes better with the precision of the model reduction upgraded and the convergence rate is improved to a large extent at the same time.     

Geometric Nonlinear Formulation for a Rectangular Plate with Large Deformation

Absolute nodal coordinate formulation for a rectangular plate with large deformation was improved. Based on nonlinear elastic theory, a precise strain expression is used to derive the equations of motion. Both shear strain and transverse normal strain are taken into account. Different from the previous absolute nodal coordinate formulation, the absolute nodal coordinates, which describe the displacement and slope of the element nodes, are separated into three parts: the absolute nodal coordinates in X, Y and Z directions, respectively, so that the dimension of the mass, stiffness and force matrices is reduced. Furthermore, by using constant matrices, which can be calculated and saved before simulation, the nonlinear stiffness matrices can be calculated by matrix multiplication for each time step, so that the computational efficiency can be improved. Finally, simulation example of a rectangular plate with large deformation was used to verify the accuracy and efficiency of the present formulation.     

Initial conditions of impact dynamics

The effects of the initial conditions of impact dynamics equations are investigated numerically and experimentally. The inadequacies of previous studies on initial conditions are pointed out. Then a coefficient of velocity jump at the moment of impact is introduced, and the experiments for the mental rods are implemented to validate the appending constraints modeling methods for impact process. The comparisons between the experimental and simulated results at different coefficients are used to study the effects of the velocity jump conditions to the numerical simulation. The results indicate that the physical velocity response of bodies during impact is smooth; the different values of velocity jump only have small effects on numerical oscillation of velocity response, and they have no effects on the time history of impact force.     

Modeling Study of Planar Flexible Manipulator Undergoing Large Deformation

The planar flexible manipulator undergoing large deformation is investigated by using finite element method (FEM). Three kinds of reference frames are employed to describe the deformation of arbitrary point in the flexible manipulator, which are global frame, body-fixed frame and co-rotational frame. The rigid-flexible coupling dynamic equation of the planar flexible manipulator is derived using the Hamilton’s principle. Numerical simulations are carried out in the end of this paper to demonstrate the effectiveness of the proposed model. The simulation results indicate that the proposed model is efficient not only for small deformation but also for large deformation.     

Nonlinear Absolute Nodal Coordinate Formulation of a Flexible Beam Considering Shear Effect

IntroductionIn the previous hybrid-coordinate formulationof an elastic beam, with the assumption of smalldeformation, the relation between the strain anddeformations is approximated to one order. Suchlinear approximated formulation fails to explain thestiffening effect for a high-speed rotating elasticbeam[1,2]. Some authors developed the systemequations of motion of flexible multibody systemsthat include stress stiffening effects[3]. A furtherimprovement in the formulation can be achieved bye…     

STATIC CORRECTION MODES IN DYNAMICAL SIMULATION OF FLEXIBLE MULTIBODY SYSTEM WITH CLOSED LOOPS

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