Dynamics of Mechanical Systems 2009 Part 11 pptx
Dynamics of Mechanical Systems 2009 Part 11 pptx
... ⋅ () =− ×⋅ () ΩΩ Ω Ω 11 1 2 11 0 Inn nn nn=++II I 111 1 2222 3333 Tnn * =− × =Ω 2 111 1 0I FTnIn ** ==−×⋅ () 0 2 11 and Ω Inn nn nn nn nn nn nn nn nn =++ +++ +++ III III III 11 1 1 12 1 2 13 1 3 21 ... 2002 7:05 AM 510 Dynamics of Mechanical Systems 14.5. Meirovitch, L., Elements of Vibration Analysis, McGraw-Hill, New York, 1975, 329 ff. 14.6. Meirovitch, L., Dynamics a...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 3 pptx
... sinθθθ 0593_C04*_fm Page 113 Monday, May 6, 2002 2:06 PM 126 Dynamics of Mechanical Systems Using polar coordinates the constraint equation is: (5.2.2) The number of degrees of freedom of a mechanical ... 0593_C04*_fm Page 110 Monday, May 6, 2002 2:06 PM 118 Dynamics of Mechanical Systems and let the acceleration of O in R be: Find: (a) R a P , (b) R a Q...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 12 pptx
... θθ θθ () = ≤ − () ≤≤ ≥ 11 11 2 22 hhm hhh θθθδθθδθθ θθ θθ δθ θ δθ θ () =+ − () − () −− () [] =+ − () − − − () −− () [] 111 112 121 1 21 111 2 δδ 21 0 00 xxx xx x () = () = > < D 0593_C16_fm ... θθ θθ () = ≤ − () ≤≤ ≥ 11 11 2 22 0593_C16_fm Page 552 Tuesday, May 7, 2002 7:06 AM 540 Dynamics of Mechanical Systems 16.2 A Survey of C...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 1 ppsx
... Generalized Dynamics: Kinematics and Kinetics 353 11. 1 Introduction 353 11. 2 Coordinates, Constraints, and Degrees of Freedom 353 11. 3 Holonomic and Nonholonomic Constraints 357 11. 4 Vector Functions, Partial ... Tube 369 11. 8 Forces That Do Not Contribute to the Generalized Forces 375 11. 9 Generalized Forces: Inertia (Passive) Forces 377 11. 10 Examples 379 11. 11 Potential...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 2 potx
... Eqs. (2 .11. 6) and (2 .11. 7). By substituting from Eqs. (2 .11. 6) and (2 .11. 7) into Eqs. (2 .11. 1) and (2 .11. 2), we obtain: (2 .11. 8) and (2 .11. 9) Hence, we have: (2 .11. 10) Observe that Eq. (2 .11. 10) ... sum of products of the elements of the ith row of A with the corresponding elements of the jth column of B. Specifically, (2.10.5) where n is the number of columns...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 4 docx
... aNN G XZ 1 111 2 111 1 2 1 2= () − () +− − () [] l ˙˙ cos ˙ sin ˙˙ sin ˙ cosθθθθ θθθθ vn ann OO 22 1 11 1 11 1 2 13 ==−lll ˙˙˙˙ θθθ and vNN O XZ 2 11 1 =− () l ˙ cos sinθθ θ aNN O XZ 2 111 2 111 1 2 1 =− () +− ... lines of action passing through points P i of the particles and bodies of V as in Figure 6.3.2. Then, S is called a system of forces ....
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 5 pps
... ab ab ab ab 11 22 33 11 22 33 111 1 1212 1313 2121 2222 2323 3131 3222 3333 0593_C07_fm Page 203 Monday, May 6, 2002 2:42 PM 230 Dynamics of Mechanical Systems where we have made use of Eqs. (7.12.4) ... hole. xxyyzz ii i N ii i N ii i N = () = () = () === ∑∑∑ 111 111 mm mm mm m = m i i N = ∑ 1 C A D B O 3.7 in. 31 in. 17 in. OB = 13 in. 0593_C06_fm Page 196 Monday, M...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 6 pdf
... double-rod pendulum. ωωααωωαα 113 113223223 ==== ˙ , ˙˙ , ˙ , ˙˙ θθθθnn nn vnann GG 11 222 1 11 1 11 1 2 12 = () = () + () lll ˙ , ˙˙ ˙ θθθ vn n ann n n G G 2 2 111 221 111 1 2 12 2 21 2 2 22 2 22 =+ () =++ () + () ll ll ... of such systems in Chapter 12. 8 .11 The Triple-Rod and N-Rod Pendulums As a further extension of the pendulum problems consider the three-rod and N-r...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 7 pps
... PM 308 Dynamics of Mechanical Systems In the T direction, the momenta of each particle are conserved, producing the equations: (9 .11. 4) and (9 .11. 5) Finally, the impact–rebound condition of Eq. ... Monday, May 6, 2002 2:57 PM 328 Dynamics of Mechanical Systems If P is a particle with mass m, the kinetic energy K of P is defined as: (10.5.1) where v is the velocity of...
Ngày tải lên: 10/08/2014, 20:20
Dynamics of Mechanical Systems 2009 Part 8 docx
... be: (11. 7.1) and (11. 7.2) (11. 7.3) (11. 7.4) where n 1 , n 2 , and n 3 are the unit vectors of Figures 11. 7.2 and 11. 7.3. From Eqs. (11. 4.4) and (11. 4.15) we obtain the partial velocities and partial ... will be on holonomic systems because, as noted earlier, the vast majority of mechanical systems of interest are holonomic systems. 11. 4 Vector Functions, Partial...
Ngày tải lên: 10/08/2014, 20:20