Abstract—Modern vacuum technology requires the creation of robots that do not fill the working area with micro-particles of wear and friction between the elements. It is necessary to control the temperature of the area, reduce external friction, which adversely affects the quality of the product. It should be recognized that even a slight friction leads to filling the working environment of vacuum robots with microparticles of wear. Temperature changes affect the properties of materials used in production. Temperature control during production is an important task. The mechanisms with a flexible elastic thin-walled element with any shape of the axis is used as a working element are considered. The moving of an element is carried out at submission of pressure in a cavity of an element. The given task is nonlinear and are reduced to the second regional task Cauchy. For the decision the method of discrete continuation on parameter in a combination to a method multisegment shooting is used. The technique allows to pick up under the given law of moving the geometric parameters of the flexible element used for the creation of emergency switch.