Modeling the dynamics of inelastic mechanical systems
New algorithms have been developed for modeling the dynamics of inelastic mechanical systems. The equations of motion are effectively solved by the eigenform expansion method, which has the following capabilities:
- provides acceptable accuracy of calculations;
- allows you to solve problems of large dimensions;
- reduces the calculation time to achieve the appropriate accuracy compared to known solutions such as the direct integration method (Wilson method), etc.
The proposed numerical approaches made it possible to satisfactorily describe the transient processes that take place during the movement of mechanisms and machines, which cannot be achieved with the traditional representation of dynamic objects in the form of absolutely rigid bodies.
The implemented solutions make it possible to correctly describe the laws of motion in three-dimensional space of both spatial mechanisms and arbitrary mechanical systems.
APM Dynamics includes the following tools:
- Preprocessor for describing model geometry, including procedures for specifying boundary conditions imposed on node points;
- Preprocessor for setting the laws of motion of the leading links and force factors acting on the elements of a mechanical system (components of spatial forces and moments);
- Means for setting flywheel masses for a more accurate description of the inertial properties of spatial mechanisms;
- A solver that implements the proposed methods for solving dynamic problems;
- Postprocessor for visualization and printing of the results of calculation of linear and angular displacements, linear and angular velocities and accelerations, trajectories of arbitrary points of the structure model, current force factors acting on the elements of a mechanical system;
- Mechanisms for animation representation of the movement of system elements in three-dimensional space;
- Tools and formats for transferring data, including values of dynamic loads, to the APM Structure3D strength analysis module.