To check the accuracy of the calculations of the EULER PC by students and teachers of the Moscow State University. M.V. Lomonosov solved a large number of different problems in theoretical mechanics. The solution of these problems showed that the accuracy obtained in the EULER, with the appropriate specification of the numerical solution parameters, is at least six significant digits (the relative error is less than 1.0e-6). This is significantly higher than the accuracy that is normally required for engineering calculations.
The results of modeling the dynamic behavior of real mechanical systems always differ from the results of field trials. These differences are explained by the following three factors:
1.**Errors in the measurement** of characteristics during testing. These include the errors of the measuring sensors, the error of their installation and the error in processing the recorded readings.
2.** ****Inaccuracies in the original model data**. They are associated with the inability to accurately determine the various characteristics of the design of a mechanical system that has undergone field testing. These include the inauthenticity of specifying in the model the characteristics of elastic and damping elements, errors in geometric data and other parameters.
3. **Methodical errors of the model. **They are associated with the assumptions and idealizations adopted in the model in comparison with the real mechanical system and with the accuracy of calculating the model.
When simulating simple mechanisms, the discrepancy with the results of field trials is usually 1-2 percent. When modeling complex systems, these discrepancies usually are much larger. |