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Inverted Slider-Crank Mechanism Driven by Hydraulic Cylinder: Transfer Functions and Approximations

Inverted slider-crank mechanisms driven by hydraulic cylinder have highly non-linear transfer functions, which in this form complicate kinematic and dynamic researches. A central slider-crank mechanism scheme is used with the specific small parameter equal to the ratio of the lengths of both links of the revolute pair of the mechanism (λ=R/L<1). The present study considers the two main transfer functions of the mechanism. In the first case the angle of the revolute pair as an independent parameter is accepted and in the second case the linear motion of the hydraulic cylinder as an independent parameter is accepted. The exact transfer functions of the mechanism are described and approximate representations of the transfer functions are found. In the first case we use a binomial order of the degrees of the small parameter calculated up to 4-th degree and very high accuracy of approximate function has been achieved (maximal error less than 1.6%). In the second case we use a trigonometric function, which corresponds to the exact transfer function up to second derivative, and the accuracy is also high (error less than 2%) in the main operating range. The power characteristics of the inverted slider-crank mechanism driven by hydraulic cylinder are determined using the transfer functions. All main conclusions are interpreted by geometrical representations.

Inverted Slider-Crank Mechanism, Transfer Functions, Small Parameter, Approximation

APA Style

Krasimir Ganchev. (2022). Inverted Slider-Crank Mechanism Driven by Hydraulic Cylinder: Transfer Functions and Approximations. Engineering Mathematics, 6(1), 1-5. https://doi.org/10.11648/j.engmath.20220601.11

ACS Style

Krasimir Ganchev. Inverted Slider-Crank Mechanism Driven by Hydraulic Cylinder: Transfer Functions and Approximations. Eng. Math. 2022, 6(1), 1-5. doi: 10.11648/j.engmath.20220601.11

AMA Style

Krasimir Ganchev. Inverted Slider-Crank Mechanism Driven by Hydraulic Cylinder: Transfer Functions and Approximations. Eng Math. 2022;6(1):1-5. doi: 10.11648/j.engmath.20220601.11

Copyright © 2022 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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