Advanced Dynamics: Analytical and Numerical Calculations by Dan B. Marghitu

By Dan B. Marghitu

Advanced Dynamics: Analytical and Numerical Calculations with MATLAB offers a radical, rigorous presentation of kinematics and dynamics whereas utilizing MATLAB as an built-in instrument to resolve difficulties. issues awarded are defined completely and directly,allowing primary rules to emerge via functions from parts comparable to multibody structures, robotics, spacecraft and layout of complicated mechanical units. This publication differs from others in that it makes use of symbolic MATLAB for either thought and functions. specific consciousness is given to recommendations which are solved analytically and numerically utilizing MATLAB. The illustrations and figures generated with MATLAB make stronger visible studying whereas an abundance of examples provide extra aid.

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Color’,’k’,’LineStyle’,’--’) line([x_B x_P],[y_B y_P],[z_B z_P],... ’Color’,’k’,’LineStyle’,’--’) The vectors V1 , V2 , R, uR , and V1 × V2 and their labels are described by the following MATLAB commands quiver3(x_B,y_B,z_B, V1(1),V1(2),V1(3),1,... ’Color’,’k’,’LineWidth’,2) quiver3(x_B,y_B,z_B, V2(1),V2(2),V2(3),1,... ’Color’,’k’,’LineWidth’,2) quiver3(x_B,y_B,z_B, R(1),R(2),R(3),1,... ’Color’,’r’,’LineWidth’,3) quiver3(x_B,y_B,z_B, u_R(1),u_R(2),u_R(3),1,... ’Color’,’b’,’LineWidth’,4) quiver3(x_B,y_B,z_B, VC(1),VC(2),VC(3),1,...

RBP | rBP V1 = V1x ı + V1y j + V1zk = |V1 | Next the vectors rBG and rBP will be calculated. From Fig. 16, the coordinates of the points B, D, P, and Q are B = B(xB , yB , zB ) = B(0, b, 0) = B(0, 5, 0), G = G(xG , yG , zG ) = G(a, 0, c) = G(4, 0, 3), and P = P(xP , yP , zP ) = P(a, b/2, 0) = P(4, 5/2, 0). The position vectors of the points B, G, and P are 46 1 Vector Algebra V2 20 R z 10 V1 V3 0 O -10 V4 -20 -20 -10 0 10 y 20 0 -10 -20 20 10 x Fig. 5 0 0 u R O 1 V1 O b/2 P V1 x V2 3 A 2 P V2 B 0 F 2 4 4 y 6 8 10 Fig.

After a MATLAB statement are used to continue the MATLAB statement to next line. 5) text(F_x/s-s,F_y/s-s,’F’,... 11 Examples 39 The labels for the x and y axes are placed on the figure using xlabel(’x’) ylabel(’y’) The MATLAB figure of the vectors is shown in Fig. 13b. 2. The coordinates of two points A and B relative to the origin O(0, 0, 0) are given by A(xA = 1, yA = 2, zA = 3) and B(xB = 3, yB = 3, zB = 3). Determine the unit vector of the line Δ that starts at point A(xA , yA , zA ) and passes through the point B(xB , yB , zB ).

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