Probabilistic behaviour of joints on joint forces in mechanisms ; Probabilističko ponašanje spojeva na spojnim silama mehanizama

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Probabilistic behaviour of joints on joint forces in mechanisms ; Probabilističko ponašanje spojeva na spojnim silama mehanizama

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Harl, Boštjan / Gubeljak, Nenad / Kegl, Marko

This paper discusses the influence of the clearance in joints on the joint reaction forces in mechanisms. By using mathematical programming, the optimal parameters of kinematic chains can be efficiently obtained by using the deterministic approach. However, the situation becomes more sophisticated if random effects of tolerances of the arm lengths and the random pin positions have to be considered. In this work the influence of clearances on joint forces is calculated by using the Taylor approximation and the Monte Carlo method. The implementation of the model is illustrated with two examples. The first example considers a closed loop chain, representing a four-bar mechanism being an actual part of a hydraulic support, employed in mining industry. The second example considers joint reaction forces of car wiper mechanism. ; U radu se razmatra utjecaj zračnosti u spojevima na reakcijske sile spoja u mehanizmima. Pomoću matematičkog programiranja, uspješno se mogu dobiti optimalni parametri kinematičkih lanaca primjenom determinističkog pristupa. Međutim, situacija postaje složenija ako se moraju uzeti u obzir slučajni učinci tolerancije dužine poluge (kraka) i slučajni položaji svornjaka. U ovom se radu utjecaj zračnosti na spojne sile izračunao pomoću Taylor aproksimacije i Monte Carlo metode. Implementacija modela ilustrirana je na dva primjera. Prvi primjer razmatra lanac zatvorene petlje, predstavljajući mehanizam s četiri šipke kao sastavnog dijela hidrauličkog nosača, korištenog u rudarstvu. Drugi primjer razmatra reaktivne sile spoja u mehanizmu automobilskog brisača.