Modeling of Carrier-based Aircraft Ski Jump Take-off Based on Tensor

A general mathematical model of carrier-based aircraft ski jump take-off is derived based on tensor. The carrier, the aircraft body and the movable parts of the landing gears are treated as independent entities. These entities are assembled into a multi-rigid-body system with flexible links. Dynamical equations of each entity are derived on the basis of the Newton law and the Euler transformation. Using the invariance property of the tensor, the dynamical and kinematical equations are converted to tensor forms which are invariant under time-dependent coordinate transformations. Then the tensor-formed equations are expressed by the matrix operation. Differential equation group of the matrix form is formulated for the programming. The closure of the model is discussed, and the simulation results are given.

Multi-body dynamic system simulation of carrier-based aircraft ski-jump takeoff

The flight safety is threatened by the special flight conditions and the low speed of carrier-based aircraft ski-jump takeoff. The aircraft carrier motion, aircraft dynamics, landing gears and wind field of sea state are comprehensively considered to dispose this multidiscipline intersection problem. According to the particular naval operating environment of the carrier-based aircraft ski-jump takeoff, the integrated dynamic simulation models of multi-body system are developed, which involves the movement entities of the carrier, the aircraft and the landing gears, and involves takeoff instruction, control system and the deck wind disturbance. Based on Matlab/Simulink environment, the multi-body system simulation is realized. The validity of the model and the rationality of the result are verified by an example simulation of carrier-based aircraft ski-jump takeoff. The simulation model and the software are suitable for the study of the multidiscipline intersection problems which are involved in the performance, flight quality and safety of carrier-based aircraft takeoff, the effects of landing gear loads, parameters of carrier deck, etc.

舰载机滑跃起飞斜板形状的优化研究

根据动力学原理，建立了考虑起落架变形运动影响的飞机在甲板上的运动方程；提出了舰载飞机滑跃起飞斜板形状的最优化数学模型性能指标、约束条件和目标函数。其中，引进了罚函数，把有约束的极值问题化为无约速的极值问题。并采用Powell法以及用差商代替导数的DFP方法进行了优化计算。计算结果表明，对斜板形状进行优化后，可以在很大程度上提高舰载机的斜扳滑跃起飞性能。

一种预测陆基滑跃起飞性能的新方法

从固定翼飞机陆基滑跃起飞的安全性要求出发,提出了一种预测起飞性能的模型,用于预测最小起飞速度和最短滑跑距离。该模型的特点是非常简单,包含了影响陆基滑跃起飞行性能最为关键的参数。预测结果与飞行试验数据结果取得了很好的一致。作为预测模型的应用示例,讨论了关键参数对滑跃起飞性能的影响。给出的模型和示例方法对制定固定翼飞机陆基滑跃起飞试验方案有实用价值。

舰载飞机的滑跳起飞过程及其数学描述

简要地阐述了舰载飞机滑跳起飞的过程，给出了描述滑跳起飞跑道斜坡段形状的实用工程计算公式，并逐一建立了舰载飞机滑跳起飞在每个起飞阶段的运动方程，特别是在斜坡两轮滑跑段的运动方程（数学模型）。这些数学模型有助于分析舰载飞机滑跳起飞的动态特性。

暖机对舰载机滑跃起飞安全影响分析

针对发动机不暖机会产生推力损失,进而影响舰载机滑跃起飞安全的问题,分析了暖机与不暖机两种情况下舰载机起飞极限重量的差异。建立舰载机滑跃起飞动力学模型,根据滑跃起飞安全准则,利用飞行轨迹最小爬升率不小于零判定起飞极限重量,并在不同甲板风和大气温度下比较两种跑道暖机与不暖机起飞极限重量。结果表明:暖机对105 m短跑道滑跃起飞极限重量影响更大;随着甲板风的增大,舰载机暖机与不暖机滑跃起飞极限重量相对偏差逐渐减小,其中105 m跑道对应最大偏差和最小偏差分别为2.70%和2.44%,195 m跑道对应最大偏差和最小偏差分别为2.64%和2.40%;随着大气温度升高,舰载机暖机与不暖机滑跃起飞极限重量相对偏差变化趋势先增大后变缓,其中105 m跑道对应最大偏差和最小偏差分别为2.79%和2.56%,195 m跑道对应最大偏差和最小偏差分别为2.69%和2.46%。