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References [1]. Radan, G. (2014). Micropiles axially loaded in karst terrain. Mathematical Modelling in Civil Engineering, Special Issue, Y.R.C. 2014, from . [2]. Seo, H. & Prezzi, M. (2008). Use of Micropiles for Foundations of Transportation Structures Final Report . Joint Transportation Research Program: Purdue University. [3]. Radan, G. (2015). Methods of foundation and stabilization of terrains with micropiles . Unpublished Doctoral Thesis, Technical

[10] BÍLEK, Martin; KOVÁŘ, Šimon. Record of the movement of heald in the weaving loom. In IX. International Conference on the Theory of Machines and Mechanism in association with the II. CEACM Conference on Computational Mechanics 2004. Liberec : TUL, 2004, pp. 87-92. [11] Bílek, M., Kovář, Š.: Mathematical model of the heald shaft of the weaving loom. Buletinul institutului polytehnic din Iaşi. Technical University of Iaşi, 2007 Iaşi, fasc. 5, volume 1, pp. 375-382. Romania [12] Hong Jun, C., Li Jun, L. Analysis on Warp´s Frictional Movement in the Heald Eye

., Ambrósio J., Claro J. C. P.: Numerical and experimental investigation on multibody systems with revolute clearance joints. Nonlinear Dynamics, Volume 65, Issue 4, September 2011, pp 383- 398 [10]Mrázek, J.: Theoretical analysis of dynamics four-bar beat up mechanisms of a loom. In.: Mechanism and machine theory, Pergamon Press, 1992, USA [11]Bílek, M., Mrázek, J.: Dynamic Stress of Heald Shaft of Weaving Looms. Vlákna a textil, 1998, è.3, s. 131-134, Slovakia. [12]Bílek, M., Skřivánek J.: Mathematical modeling of the system shedding motion - heald - warp, AUTEX Research

References [1] Recep E., Gülcan Ö., Yildiray T.: Kinematics of Rotary Dobby and Analysis of Heald Frame Motion in Weaving Process. Textile Research Journal, 2008 Vol. 78, No. 12, pp. 1070-1079, USA, [2] Eren R., Ozkan G., Mehmet Karahan M.: Comparison of Heald Frame Motion Generated by Rotary Dobby and Crank & Cam Shedding Motions. FIBRES & TEXTILES in Eastern Europe. Vol. 13, No. 4 2005, ISSN 1230-3666. [3] Bílek, M., Kovář, Š.: Mathematical model of the heald shaft of the weaving loom. Buletinul institutului polytehnic din Iaşi. Technical University of Iaşi

. Системы управления электроприводом: Учебник для студ. Высш. Учеб. Заведений / В.М.Терехов, О.И. Осипов; Под ред. В.М.Терехова.-М.: Издательский центр" Академия", 2005.-304 с. G. R. Slemon, "Modeling Induction Machines for Electric Drives", IEEE Trans. on Industry Applications, Vol. 25. No. 6. pp. 1126-1131. Nov. 1989. R. K. Rajpuk, Electrical Machines , first edition. New York: McGraw-Hill, 1993, pp.352-353. P. Drozdovski, T. J. Sobcryk. "On a mathematical model of squirrel-cage induction motors", Electrical Engineering, Springer Berlin, Vol.70, No.6. pp.371-382, Nov

In this article, we analyse the process of the emergence of RNA polynucleotides located in an enclosed environment, at an early stage of the RNA world. Therefore we prepared a mathematical model, composed of a set of differential equations, which simulates the behaviour of an early biological system bounded by a protocell membrane. There is evidence that enclosed environments were available on the primordial Earth. There are also experimental proofs that RNA strands can develop in these formations. The proposed model allows analysis of the influence of membrane permeability on the composition of internal material. It takes into account phenomena that lead to the elongation of an RNA strand (ligation), fission of molecules (phosphodiester bond breakage) and replication of polynucleotides. Results obtained from the model point out that the existence of protocells might support concentration of material and creation of longer molecules.

Vol. 35(1992), 4, pp. 696-706. 8. Kazimierski Z., Krzysztof M., Makowski Z.: Mass flux of gas flowing through a gap of unsymmetrical, sharp-edged inlet (in Polish). Archiwum Budowy Maszyn, Vol. XXXI, Issue 1-2, 1984. 9. Keribar R., Dursunkaya Z., Flemming M.F.: An integrated model of ring pack performance. Trans ASME, Journal of Engineering for Gas Turbines and Power, Vol. 113, 1991, pp. 382-389. 10. Koszałka G.: Modelling the blowby in internal combustion engine, Part 1: A mathematical model. The Archive of Mechanical Engineering, Vol. LI (2004), No. 2, pp. 245

liquid compressibility on the picture of volumetric and mechanical losses in a high pressure displacement pump used in a hydrostatic drive. Part II Mechanical losses in a pump // Polish Maritime Research 3/2012, Vol.19 5. Paszota Z.: Theoretical and mathematical models of the torque of mechanical losses in the pump used in a hydrostatic drive (in Polish). Chapter in the monograph: “Research, design, production and operation of hydraulic systems” (in Polish) Adam Klich, Antoni Kozieł and Edward Palczak editors. “Cylinder” Library. “Komag” Mining Mechanisation Centre

solidification model, Metals & Mining International News, May 2001. [8] V. Bratu, C Mortici, C Oros, N Ghiban , Mathematical model of solidification process in steel continuous casting taking into account the convective heat transfer at liquid- solid interface, Computational Materials Science 94 (2014), 2-7. [9] Ya Meng and Brian G. Thomas, Heat Transfer and Solidification Model of Continuous Slab Casting : Con1D, Metallurgical and Materials Transactions B, 34B (5) (2003), 685-705. [1] V.A. Efimov, Casting and Crystallization of Steels, Technical Publishing House, Bucharest


The paper presents a part of the work conducted in the first stage of a Research Grant called ”Hybrid micro-cogeneration group of high efficiency equipped with an electronically assisted ORC” acronym GRUCOHYB. The hybrid micro-cogeneration group is equipped with a four stroke Diesel engine having a maximum power of 40 kW. A mathematical model of the internal combustion engine is presented. The mathematical model is developed based on the Laws of Thermodynamics and takes into account the real, irreversible processes. Based on the mathematical model a computation program was developed. The results obtained were compared with those provided by the Diesel engine manufacturer. Results show a very high correlation between the manufacturer’s data and the simulation results for an engine running at 100% load. Future developments could involve using an exergetic analysis to show the ability of the ORC to generate electricity from recovered heat