Reliability Analysis of a Mounted Moldboard Plow Bottom Standard using the FORM Method

Subject Areas : Business Administration

Seyed Mohammad Reza Nazemosadat ¹ , Mojtaba Naderi-Boldaji ² , Davoud Ghanbarian ³ , Mohammad Amin Nematollahi ⁴

1 - Department of Mechanical Engineering of Biosystems, Faculty of Agriculture, Shahrekord University, Shahrekord, Iran
2 - Department of Mechanical Engineering of Biosystems, Faculty of Agriculture, Shahrekord University
3 - Department of Industrial Design, University of Art, Tehran, Iran
4 - Department of Biosystems Engineering, College of Agriculture, Shiraz University, Shiraz, Iran,

Received: 2021-06-08 Accepted : 2022-04-17 Published : 2022-09-01

Keywords: Finite Element, standard, Keywords: Reliability, FORM method, Moldboard plow,

Abstract :

ABSTRACT Using the reliability index to express a system’s safety, reliability theory is applied to study a structure’s failure probability due to the uncertainty (i.e., randomness) of design and production parameters with (a) variability in working conditions and the environment and (b) direct interaction with the soil, the conventional approach has been based on deterministic design methods. In contrast, using the concept of reliability as a new and useful approach, we develop the industry of design and manufacture of agricultural machinery. In this study, the first-order reliability method (FORM) was used to analyze the reliability of a plow bottom standard. To perform the reliability analysis, the required forces on the standard were determined by simulating the interaction of the plow with the soil using finite element method by Abaqus software. Random variables were considered as longitudinal and vertical forces on the bottom standard, radius of the standard arc, plastic cross-section modulus, and yield stress. The reliability index (β) as a measure of the system’s safety of was determined using reliability analysis whose value was found to be 2.569 for the bottom's standard. Moreover, the failure probability (Pf) of the bottom's standard was calculated as 0.005. In the final step, the results of FORM reliability analysis were compared with the reliability results of the Monte Carlo simulation of the plow bottom’s standard. The results showed that the bottom standard’s probability of failure in the FORM and Monte Carlo methods for the conditions considered—i.e., very compacted soil, plowing depth of 30 cm, and velocity of 3 m s-1—are low and almost low, respectively. Also due to the lack of lateral force FX in the limit state function, the FORM analysis indicated sufficient uncertainty of the bottom standard design; therefore, strengthening or optimizing this part of the moldboard plow chassis seems necessary.

References:

Agricultural Statistics. (2002-2017). Office of Statistics and Information Technology. Tehran. Ministry of Jihad Agriculture, Deputy of Planning and Economy, Office of Statistics and Information Technology) .In Farsi).

Abo Al-kheer, A., El-Hami. A., Kharmanda, M. G., Mouazen, A. M. (2011). Reliability-based design for soil tillage machines. Journal of Terramechanics, 48 (1), 57–64.

Dudzik, A., Potrzeszcz-Sut, B. (2019).  The structural reliability analysis using explicit neural state functions. MATEC Web of Conferences 262, https://doi.org/10.1051/matecconf/201926210002.

Elegbede, C. (2005). Structural reliability assessment based on particles swarm optimization. Journal of Structural Safety, Vol. 27, No. 2, pp. 171–186.

Ghohani Arab, H., Ghasemi M. R. The proposed new and low-cost method in calculating the probability of failure of problems based on the Monte Carlo method. Journal of Modeling in Engineering. Sixteenth year, No. 54, autumn 2018. ) In Farsi).

Godwin, R. J., O’Dogherty, M. J., Saunders, C., & Balafoutis, A. T. (2007). A force prediction model for moldboard plows incorporating the effects of soil characteristic properties, plow geometric factors and plowing speed. Journal of Biosystems Engineering, 97 (1), 117-129.

Hasofer, A.M. and Lind, N.C. (1974). Exact and invariant second moment code format. Journal of the Engineering Mechanics Division, Vol. 111, No. 21, pp. 111-121.

Kaveh, A., Kalat jari, V. R. (1994). Theory of reliability and its application in structural engineering. Iran University of Science and Technology Publications) .In Farsi).

Keshtegar, B., Mirei, M., Shabakhti, N. (2011). Calculation of reliability index based on nonlinear conjugate gradient method. 6th National Congress of Civil Engineering, 26 and 27 April, Semnan University, Semnan. Iran) .In Farsi).

Keshtegar, B., Miri, M. (2014). Introducing Conjugate gradient optimization for modified HL-RF method. Journal of Engineering Computations, Vol. 31, No. 4, pp. 775-790.

Keshtegar, B. (2018). Improvement of Stability Transformation Method for First Order Reliability Analysis. Journal of Applied and Computational Sciences in Mechanics, 28 (2), 143-152. ) In Farsi).

Keshtegar, B. (2018). First-order reliability analysis of structures using the Harmonized Search optimization method. Journal of Modeling in Engineering, 51 (15), 15-27. ) In Farsi).

Kharmnda, G., Ibrahim, M. H., Abo Al-Kheer, A., Guerin, F., El-Hami, A. (2014). Reliability-based design optimization of shank chisel plow using optimum safety factor strategy. Journal of Computers and Electronics in Agriculture, 109, 162-171.

Lee, J. O., Yang, Y. S. and Ruy, W. S. (2002). A comparative study on reliability-index and target-performance-based probabilistic structural design optimization. Journal of Computers & structures, 80 (3), pp 257-269.

Miar Naeimi, F., Azizyan, G. H., Akbari, G. H. (2016). Performance Evaluation of Monte Carlo Simulation and FORM Method to Calculate Probability of Failure for Concrete Gravity Dams in Sliding Failure Mode under Static Loading. Modares Civil Engineering Journal (M.C.E.J), 16 (3), 227-240) .In Farsi).

Moghimi, H. (2020). Reliability Analysis of Stream Network Density Changes in Urmia Lake Catchment Area Using FORM Probabilistic Method. Iran-Water Resources Research, 16 (3), 188-197.) In Farsi).

Mojahed, M. M., Ahmadi Nedushan, B. (2013). Reliability analysis of steel frames based on advanced methods of Monte Carlo. 7th National Congress of Civil Engineering. Shahid Nikbakht Faculty of Engineering. 17 and 18 May. Sistan and Baluchestan University. Zahedan.) In Farsi).

Nazemosadat, S. M. R., Ghanbarian, D., Naderi-Boldaji, M., Nematollahi, M. A. (2022). Structural Analysis of a Mounted Moldboard Plow using Finite Element Simulation Method. Spanish Journal of Agricultural Research. (Accepted for Publication). https://doi.org/10.5424/sjar/2022202-18157.

Nowak, A.S., Collins, K.R. (2000). Reliability of Structures. Mc Graw-Hill, New York.

Nowak, A.S., Collins, K.R. (2012). Reliability of Structures. Second Edition. CRC Press, New York.

Saidi-Mehrabad, M., Fazlollahtabar, H. (2016). Monte Carlo Simulation to Compare Markovian and Neural Network Models for Reliability Assessment in Multiple AGV Manufacturing System. Journal of Optimization in Industrial Engineering 19, 75-85.

Shabakhti, N., Ghaffarpour Jahromi, S., Ahmadi, R. (2021). Reliability Analysis of Static Stability of Reinforced Soil Walls. Journal of Civil Engineering Amirkabir, 52 (10), 2451-2470. (In Farsi).

Shabakhti, N., Ghaffarpour Jahromi, S., Rahimi, R. (2021). Reliability Analysis of Piles under Lateral Load. Journal of Marine Engineering, 34 (7), 49-59. (In Farsi).

Sharifi, M., Yaghoubizadeh, M. (2015). Reliability modelling of the Redundancy Allocation Problem in the Series-parallel Systems and Determining the System Optimal Parameters. Journal of Optimization in Industrial Engineering 17, 67-77.

Shayanfar, M., Ghanooni Bagha, M., Jahani, E. (2015). Reliability Theory of Structures. Iran University of Science and Technology Publications) .In Farsi).

Sorensen. J. D. (2004). Structural Reliability Theory and Risk Analysis. Institute of Building Technology and Structural Engineering Aalborg University.