Behavioural Analysis of a Nonlinear Mechanical System Using Transient Trajectories

This work aims at a better comprehension of the features of the solution surface of a dynamical system presenting a numerical procedure based on transient trajectories. For a given set of initial conditions an analysis is made, similar to that of a return map, looking for the new configuration of this set in the first Poincaré sections. The mentioned set of I.C. will result in a curve that can be fitted by a polynomial, i.e. an analytical expression that will be called initial function in the undamped case and transient function in the damped situation. Thus, it is possible to identify using analytical methods the main stable regions of the phase portrait without a long computational time, making easier a global comprehension of the nonlinear dynamics and the corresponding stability analysis of its solutions. This strategy allows foreseeing the dynamic behavior of the system close to the region of fundamental resonance, providing a better visualization of the structure of its phase portrait. The application chosen to present this methodology is a mechanical pendulum driven through a crankshaft that moves horizontally its suspension point.

Análise dinâmica e estrutural de virabrequim

This paper deals with static analysis and dynamic stress of an ensemble crank and crankshaft, contained within a combustion engine of 4 cylinders. Aimed to illustrate procedures for computer-aided analysis having as goal the optimization of components according to the need for the market demand. Thus, to work in static and dynamic analyzes were summarized the basic theory involved in the calculations and analyzes necessary actuation forces and held a brief introduction about the manufacturing process and forging. Subsequently, it was applied with the use of software in a case the crankshaft, to obtain the performance and structural dynamic thereof. There was a conservative result and critical points in the fillet of the crankshaft bearing, as well as for lubrication hole. It was concluded that there are possibilities for improvements in the manufacturing process and design optimization in order to provide lower criticality and a more robust part