Adaptation of energy methods to automated calculation of mobile machines frame constructions
DOI:
https://doi.org/10.15330/pcss.22.2.284-291Keywords:
energy methods, frame construction, potential energy of deformation, inner power factors, grid-surfaces, coordinate descent methodAbstract
The paper shows that the adaptation of energy methods to automated calculation of mobile machines frame constructions consists of developing a single algorithm applicable to different construction schemes. The calculation outset still remains the idea of getting a function of potential energy of deformation as a function with unknown inner power factors. Search for local function minimum of potential power of deformation has been based on the function’s discrete grid-surface. We managed to reach tactical flexibility of coordinate descent method in an attempt to continue approaching local minimum in cases of a dead end situation by changing the discrete course. The paper suggests extending the implemented algorithm from 3-D surface dealing only with two power factors, to n-D one with many unknown values.
References
T.I. Rybak, Search design on the basis of resource optimization of mobile agricultural machines (Zbruch, Ternopil, 2003).
M.I. Pidhurskyi, Methods for forecasting the life of bearing and functional systems of beet harvesters (TNTU im. I.Puliuia, Ternopil, 2007).
P. Popovych, M. Stashkiv, T. Dovbush, Scientific Journal of the Ternopol National Technical University 78(2), 153 (2015) https://doi.org/10.33108/visnyk_tntu.
T. Rybak, Ye. Ripetskyi, S. Sikorskyi, Scientific Journal of the Ternopol National Technical University 66 (2), 97 (2012) https://doi.org/10.33108/visnyk_tntu).
T.I. Rybak, M.Ia. Stashkiv, Ye.I. Ripetskyi, Journal of Kharkiv Petro Vasylenko National Technical University of Agriculture, 69, 85 (2008).
S.Iu. Eremenko, Eremenko, Finite element Method in the Mechanics of a deformed Body (Osnova, Kharkov, 1991).
Ye.I. Ripetskyi, R.I. Ripetskyi, V.M. Senychak, Journal of Kharkiv Petro Vasylenko National Technical University of Agriculture, 170, 142 (2016).
Surfer. User’s Guide. Contouring and 3D Surface Mapping for Scientists and Engineers (Golden Software, Inc.Golden, Colorado 2002). - 664 p.
Ye. Ripetskyi, T. Rybak, O. Ivanchuk, Scientific Journal of the Ternopol National Technical University 70 (2), 114 (2013) https://doi.org/10.33108/visnyk_tntu).
A.E. Mudrov, Numerical methods for PC in BASIC, FORTRAN and Pascal (Rasko, Tomsk, 1991).
Yu. Nesterov, Efficiency of coordinate descent methods for huge-scale optimization problems (CORE Discussion Paper 2010/2, 2010).
M.А. Volk, T.V. Filimonchuk, R.N. Gredel, Scientific Works of Kharkiv National Air Force University 1(19), 100 (2009).
R. W. Larsen, Engineering with Excel (Pearson Publishing, 2017).