航空科学技术
航空科學技術
항공과학기술
AERONAUTICAL SCIENCE AND TECHNOLOGY
2014年
11期
31-34
,共4页
尾旋%稳态%平衡点%旋转天平%作图法%数值求解法
尾鏇%穩態%平衡點%鏇轉天平%作圖法%數值求解法
미선%은태%평형점%선전천평%작도법%수치구해법
spin%steady%equilibrium%rotary balance%graphing method%numerical method
为求解飞机稳态尾旋平衡点,推导了飞机稳态尾旋的动力学方程,并针对该方程给出了三种求解方法:作图法、数值求解法以及在前两种方法的基础上所提出的一种综合求解方法。综合求解方法首先使用作图法得出方程的所有近似解,并用稳态尾旋判据判断解是否为稳定解,然后将稳定近似解作为数值求解法的初值进行精确求解。运用综合求解方法对算例飞机进行了稳态尾旋平衡点的计算,算法收敛迅速,结果精确,表明该方法具有很好的工程应用价值。
為求解飛機穩態尾鏇平衡點,推導瞭飛機穩態尾鏇的動力學方程,併針對該方程給齣瞭三種求解方法:作圖法、數值求解法以及在前兩種方法的基礎上所提齣的一種綜閤求解方法。綜閤求解方法首先使用作圖法得齣方程的所有近似解,併用穩態尾鏇判據判斷解是否為穩定解,然後將穩定近似解作為數值求解法的初值進行精確求解。運用綜閤求解方法對算例飛機進行瞭穩態尾鏇平衡點的計算,算法收斂迅速,結果精確,錶明該方法具有很好的工程應用價值。
위구해비궤은태미선평형점,추도료비궤은태미선적동역학방정,병침대해방정급출료삼충구해방법:작도법、수치구해법이급재전량충방법적기출상소제출적일충종합구해방법。종합구해방법수선사용작도법득출방정적소유근사해,병용은태미선판거판단해시부위은정해,연후장은정근사해작위수치구해법적초치진행정학구해。운용종합구해방법대산례비궤진행료은태미선평형점적계산,산법수렴신속,결과정학,표명해방법구유흔호적공정응용개치。
The dynamical equations of the airplane steady spin were deduced. For solving the equations, three techniques were given. They are graphing method, numerical method and comprehensive method, which is based on the two forementioned techniques. To use the integrative technique, the graphing method was used ifrst to get al the approximate solutions which were fulifl the steady spin criterion. Next the numerical method was used with the approximate solutions as initial values to get more precise solutions. Using the comprehensive method, the steady spin solutions of a plane was found. The arithmetic was converged quickly, the solution was precise and al these indicate that this technique is of great value in practice.