Parametric Model of the Limiting Static State of a Multisection Scissor Lift

Abstract

Engineering methods in computing the low-speed lifting mechanisms usually consider the design as a static model in its most loaded position. In this case, the static friction forces that inevitably act in the real mechanisms and that the drive should overcome when switching on are not taken into account. The paper presents a created static model of the multi-section scissor lift, which takes into consideration the static friction forces in sliders and the moments of the static friction forces in hinges. To simulate various scissor lift designs, the mathematical model is constructed using a block system so that the drive position in the mechanism is specified by the numbers of links, to which it is attached, and its coordinates relative to these links. Taking into account ambiguity of the drive location in the model, a procedure is developed to determine direction of the moments of friction forces action in the drive mount hinges. The presented computation results for various options of the scissor lift design show that the structure loading taking into account the static friction forces, is 20 % or more. The constructed model taking into account its features could be used in design and optimization of the similar structures parameters, and the proposed method is applicable in creating models of other mechanisms that account for the static friction forces

Please cite this article in English as:

Nikitin S.V., Bortyakov D.E., Grachev A.A., et al. Parametric model of the limiting static state of a multisection scissor lift. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2025, no. 1 (152), pp. 83--107 (in Russ.). EDN: TVSKWA

References

[1] Kiran K.-M., Chandrasheker J., Mahipal M., et al. Design & analysis of hydraulic scissor lift. IRJET, 2016, vol. 3, no. 6, pp. 1647--1653.

[2] Gaffar G.-M., Rohan H., Karan D., et al. Design, manufacturing & analysis of hydraulic scissor lift. IJERGS, 2015, vol. 3, no. 2-2, pp. 733--740.

[3] Dengiz C.-G., Senel M.-C., Yıldızlı K., et al. Design and analysis of scissor lifting system by using finite elements method. J. Mater. Sc., 2018, vol. 6, pp. 58--63. DOI: https://doi.org/10.13189/ujms.2018.060202

[4] Sabde A.-M., Jamgekar R.-S. Design and analysis of hydraulic scissor lift by FEA. IRJET, 2016, vol. 3, no. 10, pp. 1277--1292.

[5] Stancek J., Bulej V. Design of driving system for scissor lifting mechanism. Acad. J. Manuf. Eng., 2015, vol. 13, no. 4, pp. 38--43.

[6] Corrado A., Polini W., Canale L., et al. To design a belt drive scissor lifting table. IJETI, 2016, vol. 8, no. 1, pp. 515--525.

[7] Rani D., Agarwal N., Tirth V. Design and fabrication of hydraulic scissor lift. Int. J. Mech. Eng., 2015, vol. 5, no. 2, pp. 81--87.

[8] Spackman H.M. Mathematical analysis of scissor lifts. San Diego, Naval Ocean Systems Center, 1989. DOI: https://doi.org/10.21236/ADA225220

[9] Tao L., Jian S. Simulative calculation and optimal design of scissor lifting mechanism. Chinese Control and Decision Conf., 2009, pp. 2079--2082. DOI: https://doi.org/10.1109/CCDC.2009.5192393

[10] Islam T., Yin Ch., Jian S., et al. Dynamic analysis of scissor lift mechanism through bond graph modeling. IEEE/ASME Int. Conf. on Advanced Intelligent Mechatronics, 2014, pp. 1393--1399. DOI: https://doi.org/10.1109/AIM.2014.6878277

[11] Ciupan C., Ciupan E., Pop E. Algorithm for designing a hydraulic scissor lifting platform. MATEC Web Conf., 2019, vol. 299, art. 03012. DOI: https://doi.org/10.1051/matecconf/201929903012

[12] Arunkumar G., Kartheeshwaran R., Siva J. Investigation on design, analysis and topological optimization of hydraulic scissor lift. J. Phys.: Conf. Ser., 2021, vol. 2054, art. 012081. DOI: https://doi.org/10.1088/1742-6596/2054/1/012081

[13] Astakhov E.I., Garakh V.A., Makarov A.D. Modelling the lifting dynamics of a scissor lift platform. Teoreticheskaya i prikladnaya mekhanika, 2009, no. 24, pp. 313--317 (in Russ.).

[14] Pappalardo C.-M., La Regina R., Guida D. Multibody modeling and nonlinear control of a pantograph scissor lift mechanism. J. Appl. Comput. Mech., 2023, vol. 9, no. 1, pp. 129--167. DOI: https://doi.org/10.22055/jacm.2022.40537.3605

[15] Stawinski L., Kosucki A., Morawiec A., et al. A new approach for control the velocity of the hydrostatic system for scissor lift with fixed displacement pump. Arch. Civ. Mech. Eng., 2019, vol. 19, no. 4, pp. 1104--1115. DOI: https://doi.org/10.1016/j.acme.2019.06.001

[16] Semenov Yu.A., Semenova N.S. Investigation of mechanisms with account of friction forces in kinematic pairs. Sovremennoe mashinostroenie. Nauka i obrazovanie [Modern Mechanical Engineering: Science and Education], 2018, no. 7, pp. 147--159 (in Russ.). EDN: USKGQM

[17] Marques F., Flores P., Claro J.-C., et al. Modeling and analysis of friction including rolling effects in multibody dynamics: a review. Multibody Syst. Dyn., 2019, vol. 45, no. 4, pp. 223--244. DOI: https://doi.org/10.1007/s11044-018-09640-6

[18] Evgrafov A.N., Petrov G.N. Algorithm for determining reactions in joints of lever mechanisms with non-ideal kinematic pairs. Sovremennoe mashinostroenie. Nauka i obrazovanie [Modern Mechanical Engineering: Science and Education], 2020, no. 9, pp. 114--126 (in Russ.). EDN: ZBLYUV

[19] Bortyakov D.E., Sokolov V.P. Allowance for friction in hinges of multijoined gears. Nauchno-tekhnicheskie vedomosti SPbGPU, 2012, no. 3-2, pp. 121--125 (in Russ.).EDN: PESLBF

[20] Nikitin S.V., Bortyakov D.E., Grachev A.A. Method for optimising the design of a scissor lift. Sovremennoe mashinostroenie. Nauka i obrazovanie [Modern Mechanical Engineering: Science and Education], 2022, no. 11, pp. 310--328 (in Russ.). EDN: AMLPWN