Depending on the amount of data to process, file generation may take longer.

If it takes too long to generate, you can limit the data by, for example, reducing the range of years.


Download BibTeX


Kinematic synthesis of the mechanism for static balancing of an input torque in three positions


[ 1 ] Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.9] Mechanical engineering

Year of publication


Published in

Archive of Mechanical Engineering

Journal year: 2022 | Journal volume: vol. 69 | Journal number: no. 4

Article type

scientific article

Publication language


  • mechanism synthesis
  • machine design
  • discrete balancing
  • torque balancing

EN The aim of this work is to design the links-spring mechanism for balancing, in the three positions of the operating range, a rotary disc subjected to a torque. An energy-related approach towards the conditions of the mechanical system balance for a discrete number of positions leads to the formulation of a task of searching for a four-bar linkage which guides a coupler point through the prescribed positions, where, at the same time, geometrical conditions (specifying the spring tension) and kinematic conditions (defining the radial component of the tension change rate) are satisfied. The finitely and infinitesimally separated position synthesis is considered, however, only a component of the coupler point velocity is essential. A general method was proposed for determining the four-bar mechanism geometry. Mechanism inversion was applied in order to reduce the number of designed variables and simplify the solution method. The system of complex algebraic equations defines the problem. Linear, symbolic transformations and a systematic search technique are utilized to find multiple local optimal solutions. The problem is solved using Mathematica software.

Date of online publication


Pages (from - to)

571 - 594




License type

CC BY (attribution alone)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

at the time of publication

Ministry points / journal


Impact Factor


This website uses cookies to remember the authenticated session of the user. For more information, read about Cookies and Privacy Policy.