Abstract
The main interest of designers is not only to determine the amplitudes of tillage forces but also the type of their distributions under different soil mechanical properties with object of achieving reliable designs. Whereas, the deterministic design approach consists in achieving designs without considering the randomness of the design parameters that may lead to non reliable designs. In this work, we establish a statistical study on the randomness of the soil properties in collaboration with Cranfield University. This new study can be considered as a useful database for agricultural equipment design fields. Here, we take into account the uncertainties of soil mechanical properties that have big effects on tillage forces. The tillage forces are calculated in accordance with analytical model of McKyes and Ali with some modifications to include the effect of both soil-metal adhesion and tool speed. The distributions of soil-tool forces are next established to design soil tillage equipments such as shank chisel plow. The reliability index is then calculated using two deferent methods (Monte Carlo method and Hasofer and Lind approach). The Hasofer and Lind approach provides the structural reliability level with a low computing time relative to the Monte Carlo approach
Highlights
Accurate prediction of soil-tool forces is of great value to the designers of soil tillage equipments [1]
The soil mechanical parameters are taken as constants, and the researchers attempted to accomplish the relationships between the soil-tool forces on the one hand, and the tool and tillage operating parameters on the other hand [3]
We establish a statistical study of some soil mechanical parameters that can be considered as random parameters in order to integrate the uncertainty into the soil tillage equipment design
Summary
External friction force is the resistance or reaction to a force imposed externally to cause one surface sliding over the other under the standard pressure conditions. The angle of external friction can be determined using an apparatus and the Coulomb's concept of friction coefficient. 4. Cohesion is defined as the force that holds two particles of the same kind together. Kepner in [7] found that the cohesion and the internal friction are parameters of shear, as indicated, c tan( ) Kepner in [7] found that the cohesion and the internal friction are parameters of shear, as indicated in the following equation, c tan( )
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