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This paper presents the complete description of a non-iterative algorithm for the distributed component based simulation of the dynamics of multibodies. The simulation of well-partitioned systems has complexity O(N), where N is the total number of bodies. The algorithm was implemented in the Virtual Systems Developer (VSD) software. In contrast to...
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... In the last years we developed and implemented the method, performing the componentoriented simulation of holonomic rigid body systems [1] [2]. In contrast to standard algorithms we preserve during the simulation the partitions of models, defined during the design of the models, i.e. we use the simulation based on the hierarchy of subsystems. ...
... In the last years we developed and implemented the method, performing the componentoriented simulation of holonomic rigid body systems [1, 2]. In contrast to standard algorithms we preserve during the simulation the partitions of models, defined during the design of the models, i.e. we use the simulation based on the hierarchy of subsystems. ...
... The results show that the integration of the preprocessing module with the new version of VSD significantly reduces the computation cost of the simulation of multibodies. 2Fig. 1 shows the object-oriented method of the simulation of mechanical systems, implemented in VSD [2]. The base idea of the method is to perform the simulation of mechanical systems using the hierarchy of submodels that builds up the complete system. ...
This paper presents a new algorithm for the component-oriented simulation of mo-tion of multi-rigid-body systems, based on the decomposition of sparse matrices. The imple-mentation of the method was sufficiently performed in Virtual System Designer (VSD) software, which is able to calculate the dynamics of CAD models because of its integration with a CAD tool Autodesk Inventor. The presented algorithm is well-suited for the use of a preprocessing module, performing the symbolic simplification of decompositions of sparse matrices, which significantly reduces the numerical costs of the simulation. Example of a CAD model of a double insulator chain illustrates the effectiveness of the method.
... In the last years we developed and implemented a method, based on the projection algorithm for absolute coordinates, which performs the component-oriented simulation of multibodies [6,7]. In our method the model's partition, defined during the model's specification, remains during the simulation, i.e. we use the simulation based on the hierarchy of subsystems. ...
... The correct simulation of CAD models with redundant constraints is shown in this paper. Fig. 1 shows the object-oriented method of the simulation of mechanical systems, implemented in VSD [6]. The base idea of the method is to perform the simulation of mechanical systems using the hierarchy of submodels that builds up the complete system. ...
... Then to each parent S i the subsystems transmits the correspondent vector , where is the vector of forces acting in the external constraints of S i . The hierarchical projection of the absolute coordinates and velocities is performed in a similar way [6] and has the same order of complexity as the hierarchical calculation of the accelerations. ...
This paper presents the modification of a non-iterative algorithm for the component-oriented simulation of the dynamics of multibodies. Now the method can be implemented for the component-oriented simulation of the dynamics of CAD systems with redundant constraints. Also the new version of the method is well-suitable for the implementation of sparse solvers. The algorithm was implemented in the Virtual System Designer (VSD) software, integrated with a CAD tool Autodesk Inventor. The simulation results of two CAD models: a car and a steam machine shows the method's stability and accuracy.
