上海体育学院学报
上海體育學院學報
상해체육학원학보
Journal of Shanghai Physical Education Institute
2010年
1期
38~42
,共null页
伍勰 裘艺 张胜年 魏文仪
伍勰 裘藝 張勝年 魏文儀
오협 구예 장성년 위문의
跳深动作 颤摆质量模型 系统辨识 计算机仿真 动力学
跳深動作 顫襬質量模型 繫統辨識 計算機倣真 動力學
도심동작 전파질량모형 계통변식 계산궤방진 동역학
drop jump behavior; wobbling mass model; system identification; computer simulation; kinetics
目的：利用系统辨识与优化解算跳深动作颤摆质量模型中力学元件的参数，并结合计算机仿真探讨模型在冲击性动作动力学仿真中的有效性和实用性。方法：将人体简化为1自由度的颤摆质量模型，导出相应的状态方程，将实验所得人体多刚体模型质心于垂直方向上的运动学数据作为输入量，地面垂直反作用力作为比较量，采用n4sid子空间系统辨识方法并结合约束优化方法求解出模型力学元件参数估值，回代模型仿真计算输出跳深动作过程中的垂直地面反作用力。结果：辨识与各种初始条件下仿真所得到的地面力值与实测地面力值的拟合度均可达到80％左右；随跳深高度的增加，模型中力学元件的刚度k与阻尼c的值也呈增大趋势；运动学解析数据的精度对拟合度有较大的影响。结论：基于系统辨识的颤摆质量模型可有效反映人体在受到冲击时整体粘弹性的响应表现，而通过个体实验确定模型内参数的方法，也使得模型在应用时更具针对性和灵活性。
目的：利用繫統辨識與優化解算跳深動作顫襬質量模型中力學元件的參數，併結閤計算機倣真探討模型在遲擊性動作動力學倣真中的有效性和實用性。方法：將人體簡化為1自由度的顫襬質量模型，導齣相應的狀態方程，將實驗所得人體多剛體模型質心于垂直方嚮上的運動學數據作為輸入量，地麵垂直反作用力作為比較量，採用n4sid子空間繫統辨識方法併結閤約束優化方法求解齣模型力學元件參數估值，迴代模型倣真計算輸齣跳深動作過程中的垂直地麵反作用力。結果：辨識與各種初始條件下倣真所得到的地麵力值與實測地麵力值的擬閤度均可達到80％左右；隨跳深高度的增加，模型中力學元件的剛度k與阻尼c的值也呈增大趨勢；運動學解析數據的精度對擬閤度有較大的影響。結論：基于繫統辨識的顫襬質量模型可有效反映人體在受到遲擊時整體粘彈性的響應錶現，而通過箇體實驗確定模型內參數的方法，也使得模型在應用時更具針對性和靈活性。
목적：이용계통변식여우화해산도심동작전파질량모형중역학원건적삼수，병결합계산궤방진탐토모형재충격성동작동역학방진중적유효성화실용성。방법：장인체간화위1자유도적전파질량모형，도출상응적상태방정，장실험소득인체다강체모형질심우수직방향상적운동학수거작위수입량，지면수직반작용력작위비교량，채용n4sid자공간계통변식방법병결합약속우화방법구해출모형역학원건삼수고치，회대모형방진계산수출도심동작과정중적수직지면반작용력。결과：변식여각충초시조건하방진소득도적지면력치여실측지면력치적의합도균가체도80％좌우；수도심고도적증가，모형중역학원건적강도k여조니c적치야정증대추세；운동학해석수거적정도대의합도유교대적영향。결론：기우계통변식적전파질량모형가유효반영인체재수도충격시정체점탄성적향응표현，이통과개체실험학정모형내삼수적방법，야사득모형재응용시경구침대성화령활성。
Using system identification and parameters of mechanics component in wobbling mass model of optimized resolution of drop jump, the present research aims to investigate the effectiveness and validity of the model in kinetics simulation of impact strength. Methods： Simplify the human body to a wobbling mass model with one degree freedom, use as input quantity the kinematic data of the barycenter of the model of human multi-rigid body along pure vertical line and use the ground vertical reacting force as comparative quantity, and use the n4sid sub-space system identification methods to obtain the generalized state equation. Find out the estimated values ofmechanical component parameters of the model by way of the constrained optimization methods and output the vertical ground force in drop jump process by way of inverse model simulation calculation. Results： The fitting degree between the simulated vertical ground force and the actual vertical ground force is about 80%. The values of the rigidity k and the damping c of the mechanical components in the model get larger with the increase of drop height. The precision of the kinetics analysis data has a greater influence on the fitting degree. Conclusions： the wobbling mass model based on system identification can effectively reveal the whole body＇ s viscoelastic characteristics when it is under impact, while the method of identifying parameters within the model through individual experiment brings more directions and flexibility to the model.
