Browse Topic: Splines
This SAE Standard applies to hydraulic pumps and motors used on off-road self-propelled work machines as described in SAE J1116.
A real-time path planning algorithm is developed to generate time-optimal trajectory for helicopter shipboard landing. The trajectory optimization problem is translated to the lower dimensional flat output space by exploiting the differential flatness property of the simplified helicopter model. Then, the flat outputs are parameterized using piecewise spline functions with adjustable coefficients, which are used to shape the trajectory and approximate the optimal solution. Further, by allowing the flexible selection of each spline segment's time-duration and enforcing additional path constraints, the time-optimality of the planned trajectory is largely preserved without violation of state and input bounds. Compared to pure temporal discretization methods, the proposed algorithm employs considerably less decision variables and significantly reduces the computational time by 75%, which only leads to a 0.5% growth in the optimal flight time as the trade-off. The improvement in
ABSTRACT Many spiral bevel gear applications are implemented with a two piece gear where the gear and shaft are bolted or inertia welded as an assembly task. Eliminating a bolted, splined, or welded joint between the spiral bevel gear and shaft can reduce complexity and cost in a transmission design. Simulations of the motion of spiral bevel machine tools have been developed to ensure successful integral shaft designs for helicopters. Awareness of the location of the wheel during spiral bevel gear tooth manufacturing enables a design solution to iterate between the gear shaft and spiral bevel gear tooth design. The simulation was revisited to refine a preliminary two dimensional tool as well as create a more detailed three dimensional visualization for use during the design process. The design process was applied to three helicopter bevel gear designs. Physical verification was completed on two designs as a risk reduction in the bevel gear grinding machine before the design was
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