The content of this thesis comes from the fujian natural science found following research task 。 it studies on a space cantilever single beam attached to a moving support 。 inertia forces which are brought by the support's movement , are acceded to the equivalent initiative forces and the equivalent initiative moments 。 when we consider the relation of the forces and deformation , we change the method of material mechanical analysis to the elastic mechanical analysis 。 further more , we discusses the feasibility of the method which uses the multi-rigid-body discrete model to simulate the dynamic characteristic of a elastic body 。 first , the finite segment method is adopted to establish the models of the beam 。 based on kane's equations , dynamic math-model for the beam are derived 。 and by use of c-language and runge-kutta procedure , the computer-oriented procedure can give the whole responses of the beam 。 second , with compare to the numerical examples , the method which uses the multi-rigid-body discrete model to simulate the dynamic characteristic of a elastic body which is under the condition of movement is verified to be feasible 。 本論文為福建省自然科學基金后續(xù)研究課題,以已知支撐運動的單個空間懸臂梁為對象,在等效主動力與等效主動力矩中加入支撐轉動引起的慣性力,并在考慮力與變形關系時,用更一般的彈性力學分析代替材料力學分析,進一步研究用多剛體離散模型來模擬其動力學特性的可行性。首先,用有限段建立機械臂的多剛體離散模型,用kane動力學方法建立其動力學方程。并用c語言編制算法程序,采用了四階runge-kutta積分程序求解微分方程組,給出構件的全部動態(tài)歷程。
In this paper, the dynamic models of two cooperative flexible manipulator is developed base on the finite segment method then the dynamics are discussed . first, the finite segment method is adopted to establish the discrete models of flexible manipulator . based on the small elastic deformations, transformation matrix of reference frame to the foundation and other kinematics matrixs are developed 首先,采用有限段方法建立機械臂的多剛體離散模型,在彈性小變形的情況下,對單機械臂的動力學進行分析,計算了坐標變換矩陣及基本的運動學矩陣,進而用凱恩方程建立了考慮臂柔性的機械臂的動力學模型。
In this paper, the dynamic models of two cooperative flexible manipulator is developed base on the finite segment method then the dynamics are discussed . first, the finite segment method is adopted to establish the discrete models of flexible manipulator . based on the small elastic deformations, transformation matrix of reference frame to the foundation and other kinematics matrixs are developed 首先,采用有限段方法建立機械臂的多剛體離散模型,在彈性小變形的情況下,對單機械臂的動力學進行分析,計算了坐標變換矩陣及基本的運動學矩陣,進而用凱恩方程建立了考慮臂柔性的機械臂的動力學模型。