Estimation of the Accuracy of the Ritz Method for the Calculation of Rubber Technical Products
2015
Vladimirs Gonca, Jurijs Švabs

Rubber shock absorbers have been widely used in various branches of engineering. To use and design rubber technical products, analytical formulas are necessary for calculating such products, particularly when designing new products. Unfortunately, there are no exact analytical solutions for rubber parts. All analytical solutions are approximate; in order to use them, it is very important to know how far the result is from the real and accurate one. This paper presents a method for estimating the accuracy of the most common approximate solution of the Ritz method. Two approximate solutions were obtained for the same problem: first solution was obtained by employing the Ritz method, the second solution was obtained by using the method of functional assessment method proposed by M. G. Slobodyanskij for a particular case of a quadratic functional. The exact solution is found between these two solutions. The above decision confirms the ability to use two-way functional assessment to evaluate the accuracy of approximate solutions. The charts for the form factor solutions with excess and deficiency are obtained. By means of these charts it is easy to obtain the dependence “force-sediment” for the rubber products of various geometric shapes. Only small deformations (10–15 %) are considered in the experiments. All results are displayed graphically, and all calculations and plotting are done in the program Mathcad.


Keywords
shock absorber, elastomer, coefficient of form, force-sediment, sediment

Gonca, V., Švabs, J. Estimation of the Accuracy of the Ritz Method for the Calculation of Rubber Technical Products. Mechanics. Vol.36, 2015, pp.23-26. ISSN 1407-8015. e-ISSN 2255-8721.

Publication language
Latvian (lv)
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