飞机等表速运动方程与稳态爬升参数计算

Aircraft equation of motion and stable climb parameters calculation with constant indicated airspeed

为了揭示等表速飞行的内在机理,建立了飞机等表速运动方程,提出了等表速爬升运动参数计算方法。对比等表速和等真空速爬升公式,提出了功率因子的概念,以反映飞机等表速与等真空速爬升所需单位剩余功率之间的关系。针对等表速等推力、等表速等梯度、等表速等升降速度3种典型爬升方式,应用飞机等表速运动方程给出了稳态运动参数计算方法。计算结果表明,3种爬升方式均存在稳态爬升剖面,稳态运动参数与表速呈一一对应关系。

In order to find out the intrinsic truth about constant indicated airspeed（ CIAS）,the aircraft motion equation with CIAS was formulated and corresponding method to calculate the climb parameters was presented. Through comparing the climb formula between constant true airspeed（ CTAS） and CIAS,the conception of power factor was proposed to reflect the relationship of the unit residual power required in climb between CIAS and CTAS. Three typical climb modes,such as CIAS and constant thrust,CIAS and constant climb gradient,CIAS and constant vertical speed,were discussed respectively. The methods to calculate the stable movement parameters were presented by applying the aircraft equation of motion with CIAS. Calculation results show that each mode has its stable climb section,stable movement parameters and CIAS present one-to-one correspondence.