Moniuszko Justyna, Maryniak Jerzy, Ladyżyńska-Kozdraś Edyta
Warsaw University of Technology, ITLiMS, Poland.
Acta Bioeng Biomech. 2010;12(3):29-39.
Based on a model of a parachute jumper, for various body configurations in a sitting position, tests were carried out in an aerodynamic tunnel. Aerodynamic characteristics and dimensionless aerodynamic forces' coefficients were calculated. The tests were carried out for various configurations of the jumper's body. A universal mathematical model of a parachute jumper's body was prepared, thus enabling the analysis of the jumper's movement with a closed parachute in any position. In order to build the model, a digitized model of a jumper allowing changing the body configuration, making appropriate changes of the moment of inertia, distribution of the center of mass and the aerodynamic characteristics was adopted. Dynamic movement equations were derived for a jumper in a relative reference system. The mathematical model was formulated for a jumper with a variable body configuration during the flight, which can be realized through a change of the position and the speed of the parachute jumper's limbs. The model allows analyzing the motion of the jumper with a closed parachute. It is an important jump phase during an assault with delayed parachute opening in sports type jumping, e.g., Skydiving and in emergency jumps from higher altitudes for the parachute's opening to be safe.
基于降落伞跳伞者的模型,针对坐姿下的各种身体形态,在风洞中进行了测试。计算了空气动力学特性和无量纲空气动力系数。针对跳伞者身体的各种形态进行了测试。制备了降落伞跳伞者身体的通用数学模型,从而能够分析跳伞者在任何姿势下降落伞闭合时的运动。为了建立该模型,采用了一个数字化的跳伞者模型,该模型允许改变身体形态,对转动惯量、质心分布和空气动力学特性进行适当改变。在相对参考系中推导了跳伞者的动态运动方程。针对飞行过程中身体形态可变的跳伞者建立了数学模型,这可以通过改变跳伞者四肢的位置和速度来实现。该模型允许分析降落伞闭合时跳伞者的运动。在体育型跳伞(如跳伞运动)中延迟打开降落伞的突击过程以及从更高海拔进行紧急跳伞时,这是降落伞安全打开的一个重要跳跃阶段。