Abstract
Mathematical model of disturbance motion for articulated container truck with band loop frame on pneumatic wheels by different conditions of cross stabilization has been worked out by analytical mechanics method with Lagrange equation of second type. Analytical expressions of critical parameters of system, which define stability of articulated container truck in cross plane has been received.
Highlights
Cшlк Iс— the square of the natural circular frequency of the system in the generalized coordinate θ, с—2
У роботі розроблена математична модель збуреного руху зчленованого контейнеровоза з бугельною рамою на пневмоколісному ході при різних умовах поперечної стабілізації методами аналітичної механіки з залученням рівняння Лагранжа другого роду
If for the usual layout, especially in the general automotive industry, we have accumulated a wealth of experience in the development of mathematical models of perturbed motion, the formation of external loads, internal efforts, for articulated container ships on a pneumatic wheel course with a tow frame everything has to be done for the first time
Summary
— the square of the natural circular frequency of the system in the generalized coordinate θ, с—2. From where do we get the critical speed at which the stability of a semi-trailer container carrier in the transverse plane occurs: vкр lкl0 π. To increase the lateral stability of the system, due to the high position of the center of mass of the container carrier, we include a stabilizer of the transverse stability in the suspension of the trailer part, which is taken into account in the calculation model by introducing equivalent stiffness of the suspension during oblique symmetry perturbations. We incorporate the second-kind Lagrange equation (1) into the mathematical model In this case, the system has two degrees of freedom when q1 = y , q2 = θ , where y — vertical movement of the semi-trailer, and θ — the angle of the semi-trailer in the transverse plane. Where Се — coefficient of equivalent rigidity of the elastic suspension, N/m; Сβ — coefficient of angular stiffness of the stabilizer of lateral stability, N/m; lк — half track of semi-trailer, m; hп — lifting of the right wheel of a semi-trailer on inequalities of a sinusoidal profile, m
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