Dynamic behaviour of plane linkages under random loadings using Monte Carlo technique

Abstract eng:
Monte Carlo techniques have been used widely in various engineering applications. Monte Carlo simulation technique was used to solve the equation of motion derived for the particular agricultural machine linkage. Matlab® was used to implement fully the Monte Carlo technique. In the linkage Ra and Rb reaction forces were identified as the main influential determinants on the linkage. The reaction forces (Ra and Rb) were defined such that they vary from 150 N to 650 N and the angles vary from 25º to 35º. Naturally when modeling forces to soil reactions, it is generally accepted to assume that the reaction forces are normally distributed. In order to broaden the scope of the research work two force distributions have been added on the system, mainly to compare the results. The assumed force distributions are: (i) normal distribution, (ii) beta distribution and (iii) gamma distribution. The equation of motion of the agricultural machine linkage were derived and solved under random loadings. The Monte Carlo simulation techniques were utilized to solve the equation of motion numerically. The dynamic response of the linkage (mechanism) has also been displayed for both the minimum reaction force (150 N) and the maximum reaction force (650 N). For each set of dynamic response, the angle alpha was assumed to vary from 25° to 35°. It has been found that for minimum force, the angular velocity is small as compared to the angular velocity due to the maximum force. Generally, random forces due to soil reaction on the plane linkages could be solved by utilizing Monte Carlo techniques.

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