forced vibration of single degree of freedom systems 1 periodic excitation

... in Fig 1( b) Fig 3: A two degree of freedom spring mass system Equations of motion of degree of freedom system are given by: m1 x1  k1 x1  k2 ( x1  x2 )  F1 (t ) (1) m2 x2  k2 ( x2  x1 )  ... equation 11 and 12 we get, X1  k  m2   m1m2  m1k2  m2 (k1  k2 )   k1k2    .(5) and SOLVE the virtual lab@ NITK Surathkal Machine Dynamics and Vibration Lab Forced vibration of degree ... Forced vibration of degree of freedom system Fig 2: Two DOF system modelling of a motor generator set up A simplified two degree of freedom system is shown in Fig The motion of the system...

Ngày tải lên: 29/08/2014, 22:41

... obtained • Multi degree of freedom systems •Modeling of continuous systems as multidegree of freedom systems •Eigenvalue problem Multidegree of freedom systems Multidegree of freedom systems • A t ... equations, which is relatively simple. Hence, for simplicity of analysis, continuous systems are often approximated as  analysis continuous systems are often approximated as multidegree of freedom systems • For a system having n degrees of freedom,  there are n associated  ... p g springs.  Multidegree of freedom systems Multidegree of freedom systems • • Another popular method of approximating a continuous system as a  h l h d f multidegree of freedom system involves replacing the geometry of the ...

Ngày tải lên: 29/08/2014, 22:45

... Underdamped (0 ≤ ξ < or ≤ c eq < cc ) ix 92 94 95 10 1 10 6 10 6 10 7 10 9 11 6 12 1 12 3 12 6 12 8 13 2 13 8 13 8 13 9 14 2 14 3 14 5 14 7 15 1 15 4 15 5 15 6 15 8 15 8 15 9 16 0 16 5 16 6 x Contents Case II: Critically Damped ... 6 8 10 10 11 12 13 14 16 16 17 19 22 viii Contents Dampers in Series Dampers in Parallel 1. 4 Free Vibration of an Undamped SDOF System 1. 4 .1 Differential Equation of Motion Energy Approach 1. 4.2 ... Poles and Zeros of Transfer Function Frequency Response Function Exercise Problems 16 6 16 6 16 8 16 9 17 0 17 3 17 5 17 5 17 6 17 9 Vibration of Two -Degree -of- Freedom- Systems 4 .1 Mass, Stiffness,...

Ngày tải lên: 08/04/2014, 11:49

... Cartesian Tab • In the Number of Grid Spaces area type in the X direction edit box • In the Number of Grid Spaces area type in the Y direction edit box • In the Number of Grid Spaces area type in ... dialog box 10 In this dialog box: on the side toolbar or select Add Special Joint to exit Draw Mode and enter Select Mode • Type 64 in the Translation edit box • Click the OK button 11 Select the ... Spectrum Case Data dialog box • In this dialog box: À À À À À À À À 16 Accept the default Spectrum case name, SPEC1 Accept the default Excitation Angle, Accept the default Modal Combination option,...

Ngày tải lên: 06/07/2014, 09:20

... − k12 + m12ω ⎤ ⎛ F ⎞ ⎢ ⎥⎜ ⎟ k 11 − m 11 ⎦ ⎝ ⎠ ⎣ −k 21 + m 21 = k 11 − m 11 k12 − m12ω k 21 − m 21 k22 − m22ω (52) Hence X1 (k = 22 ) − m22ω F Z (ω ) , (53) ⎡ k 11 − m 11 where [ Z (ω ) ] = ⎢ ⎣ k 21 ... θ 22 + 2l1l2 1 cos(θ − 1 )) 2 Potential energy of the system = l1 1 1 U = m1 g (1 − cos 1 ) + m2 g {l1 (1 − cos 1 ) + l2 (1 − cos θ )} = g {( m1 + m2 )l1 (1 − cos 1 ) + m2l2 (1 − cos θ ... k22 − m22ω ⎦ ⎝ X ⎠ ⎡ k 11 − m 11 k12 − m12ω ⎤ ⎛ X ⎞ ⎛ F ⎞ or , ⎢ ⎟=⎜ ⎟ 2⎥⎜ ⎣ k 21 − m 21 k22 − m22ω ⎦ ⎝ X ⎠ ⎝ ⎠ 225 ( 51) 1 ⎛ X ⎞ ⎡ k 11 − m 11 ⎜ ⎟=⎢ ⎝ X ⎠ ⎣ k 21 − m 21 k12 − m12ω ⎤ ⎛ F ⎞ ⎥ ⎜ ⎟ k22...

Ngày tải lên: 29/08/2014, 22:44

... rộng: 1+ w  1+ w  + a1 =  ÷ + a2 1 w  1 w  => ( + w ) + a2 (1 + w) (1 − w) + a1 ( − w ) = 2 2 => ( + w + w ) + a2 (1 − w ) + a1 ( − w + w ) = => (1 − a2 + a1 ) w2 + (2 − 2a1 ) w + + a2 + a1 ... b1 z 1 + + bm z − m Y (z) G( z) = = U ( z ) + a1 z 1 + + an z − n 1 −n 1 −m => (1 + a1 z + + an z )Y ( z ) = (b1 z + + bm z )U ( z ) => y (k ) = − a1 y ( k − 1) − − an y (k − n) + b1u ... LUẬN VĂN THẠC SĨ 1+ w 1 w Xét chuẩn Routh-Hurwith mở rộng, thay z = 1+ w  1+ w + a1 = [ + GC ( z ) K ]   ÷ + a2 1 w  1 w  => [ + GC ( z ) K ] ( + w ) + a2 (1 + w) (1 − w) + a1 ( − w ) = 2...

Ngày tải lên: 26/05/2014, 00:05

... Information Theory, vol 52, no 3, pp 11 01 11 12, 2006 [11 ] W Santipach and M L Honig, “Asymptotic capacity of beamforming with limited feedback,” in Proceedings of the IEEE International Symposium ... exactly 4.4 Feedback rate for large systems RFB T = log2 opt lim RFB N + SNRDL · Tη SNRDL Φ+BTη/N · W (NΦ/(N − 1) ) 1+ SNRUL loge 1+ SNRUL Φloge 1+ SNRUL 1 , ( 51) 10 EURASIP Journal on Advances in ... to have a large log2 1+ SNRDL log2 1+ SNRUL opt · where SNRDL β = log2 (e)· B DL T 1 + SNRDL , (49) , where N →∞ log2 N Tη (N − 1) /N 1+ (B DL Tη/N)· SNRDL / 1+ SNRDL log2 1+ SNRUL N SNRDL α = B...

Ngày tải lên: 21/06/2014, 22:20

... ± 0 .1 0 .1 ± 0.3 0 .1 ± 0.2 σ (Mean ± SD) 0 .1 ± 0 .1 0.3 ± 0.2 0.2 ± 0 .1 3D-vector (mm) rot y(°) rot z(°) 0. 01 ± 0 .1 0.4 ± 0.2 rot x (°) 0.06 ± 0 .1 0.06 ± 0 .1 0.08 ± 0 .1 0.08 ± 0 .1 0.06 ± 0 .1 grey ... Rotations (°) X M Y Z x y z -0 .1 0 -0.06 -0 .15 Σ 0.2 0.2 0 .1 0.09 0 .15 0.24 σ 0.4 0.4 0.2 0 .15 0.23 0. 31 max 1. 8 1. 1 1. 4 0.8 1. 1 Results were obtained from registration of planning CT-with cone-beam ... frame system for Page 11 of 11 stereotactic radiosurgery/radiotherapy: measurement of the repositioning accuracy Int J Radiat Oncol Biol Phys 20 01, 51: 555-562 doi: 10 .11 86 /17 48- 717 X-5-42 Cite this...

Ngày tải lên: 09/08/2014, 08:23

... both free vibration and forced vibration For forced vibration, zi (t ) could be obtained from the solution of one DOF forced vibration Examples -7- 53/58 :15 3 Lecture Fundamental of Vibration ... systems – Uncoupling of the Equations of motion Equations of motion of an undamped multi -degree of freedom system The displacement vector can be written as a linear combination of the mode shape ... 53/58 :15 3 Lecture Fundamental of Vibration Orthogonality of undamped free vibration mode shapes An n degree of freedom system has n natural...

Ngày tải lên: 29/08/2014, 22:45

... Recommendations……………………………………………………… 6.4 .1 Other directions for the validation of integrated systems models… 6.4.2 Proper use of integrated systems models………………………… 10 3 10 3 10 3 10 4 10 4 10 5 10 5 10 6 10 9 10 9 11 0 References……………………………………………………………………… ... Indonesian Rupiah is remarkably high 1. 6 1. 4 1. 2 0.8 0.6 0.4 0.2 19 91 1992 19 93 19 94 19 95 19 96 19 97 19 98 19 99 2000 20 01 Time Fig .1. 7 Regional GDP development of South Sulawesi (sources: Indikator ... Introduction 15 Systems Concepts Various definitions of concepts of systems can be found in the literature (see Van Gigch, 19 74; Rosnay, 19 79; Kramer and De Smit, 19 91) Following Kramer and De Smit (19 91) ,...

Ngày tải lên: 06/11/2012, 10:35

... bookkeeping of their small importing company Compared to most of her acquaintances she had a happy life Two trips back to France over the years had reinforced the rightness of her choice After a week of ... out there somewhere, tens of thousands of them, but none were aware of his existence No one knew anything about him The thought triggered a subtle, almost guilty flush of pleasure Arranged over ... their dome of reddish air As he shuffled around the column, fragments of river wound into the sun's glare, reflecting myriads of tiny diamonds – a lesson in subtlety for the mirror-glass office tower...

Ngày tải lên: 06/11/2012, 14:13

... m3) This mesh has a cell count of 99 ,12 0 and a node count of 11 1,6 81 The same radiation model as in Case is utilized in Case Figure 11 shows the interior view of the room with vents and radiation ... Information Technology 2008, 4, 503- 511 [12 ] Tyagi V V., Buddhi D., PCM Thermal Storage in Buildings Renewable and Sustainable Energy Reviews 2007, 11 , 11 46 -11 66 [13 ] Khudhair A M., Farid M.M., A ... University of Dayton from 19 82 to 19 86 International Journal of Global Energy 19 97, 9, 18 3 -19 8 [10 ] Frank B., Using Phase Change Material (PCMs) for Space Heating and Cooling in Buildings Proceedings of...

Ngày tải lên: 05/09/2013, 15:28

... ISSN 2076-2909 (Online) ©2 013 International Energy & Environment Foundation All rights reserved 58 [7] [8] [9] [10 ] [11 ] [12 ] [13 ] [14 ] [15 ] [16 ] [17 ] [18 ] [19 ] [20] [ 21] [22] [23] [24] [25] [26] ... rate the quality of the training on a scale of 1- 10 ranging from poor to excellent and the degree of adequacy of the knowledge acquired from the training sessions on a scale of 1- 10 ranging from ... Photovoltaics 19 96, 4 (1) , 77-84 Mainali B., Silveira S Financing off-grid rural electrification: Country case Nepal Energy 2 011 , 36(4), 219 4-22 01 Fara S., Finta D., Micu G Problems of village electrification...

Ngày tải lên: 05/09/2013, 16:10

... 2300 2200 210 0 2000 19 00 18 00 17 00 16 00 15 00 14 00 13 00 12 00 11 00 10 00 900 800 700 600 500 400 300 200 10 0 19 94 Germany Japan USA Spain Italy France UK 19 95 19 96 19 97 19 98 19 99 2000 20 01 2002 2003 ... 2076-2909 (Online) ©2 010 International Energy & Environment Foundation All rights reserved 634 [4] [5] [6] [7] [8] [9] [10 ] [11 ] [12 ] [13 ] [14 ] [15 ] [16 ] [17 ] [18 ] [19 ] [20] [ 21] [22] [23] [24] ... Journal of Energy and Environment (IJEE), Volume 1, Issue 4, 2 010 , pp. 617 -634 632 200 18 0 IEA reference scenario Moderate scenario Advanced scenario Annual PV installed capacity (GWp) 16 0 14 0 12 0 10 0...

Ngày tải lên: 05/09/2013, 16:10

... 10 7 10 7 10 8 10 9 11 2 12 1 12 6 12 8 12 9 13 2 14 2 14 4 14 5 14 7 15 2 15 5 Contents xiii PID Control System 5 .1 Introduction ... 15 7 15 7 15 8 16 0 16 1 16 2 16 6 17 1 17 9 17 9 18 2 18 3 18 5 Numerical Control Kernel 6 .1 Introduction ... 18 7 18 7 18 7 18 8 19 3 19 9 203 208 211 213 215 222 225 226 Part II Open-architectural Soft CNC Systems Programmable Logic Control 7 .1 Introduction...

Ngày tải lên: 08/09/2013, 20:50

... ISBN -13 : 978-0 -13 6-08620-8 Database management I Navathe, Sham II Title Addison-Wesley is an imprint of QA76.9.D3E57 2 010 005.74—dc22 10 1 CW 14 13 12 11 10 ISBN 10 : 0 -13 6-08620-9 ISBN 13 : 978-0 -13 6-08620-8 ... Anderson 10 2 CS3320 Spring 08 Knuth 11 2 MATH2 410 Fall 08 Chang 11 9 CS1 310 Fall 08 Anderson 13 5 CS3380 Fall 08 Stone GRADE_REPORT Student_number Section_identifier Grade 17 11 2 B 17 11 9 C 85 A 92 A 10 2 ... Features of SQL 11 0 4.6 Summary 11 1 Review Questions 11 2 Exercises 11 2 Selected Bibliography 11 4 10 7 chapter More SQL: Complex Queries, Triggers, Views, and Schema Modification 11 5 5 .1 More Complex...

Ngày tải lên: 07/12/2013, 11:33

... 7 .18 .3 Sequencers ASCII FUNCTIONS DESIGN TECHNIQUES 7.20 .1 State Diagrams DESIGN CASES 7. 21. 1 If-Then 15 2 15 3 15 7 15 9 16 0 16 0 16 1 16 2 16 2 16 3 16 4 16 4 16 5 16 5 16 6 16 8 16 9 17 2 17 2 17 2 17 3 17 4 17 4 ... 17 3 17 4 17 4 17 5 17 5 17 9 18 1 18 2 18 2 18 4 19 1 19 1 19 3 19 4 19 5 19 6 19 8 19 8 19 9 200 202 203 203 206 207 page 7.22 7.23 7.24 7.25 7.26 7.27 207 208 209 209 210 211 212 213 216 216 219 2 21 223 224 227 ... 13 9 13 9 14 1 14 4 14 6 14 7 14 7 14 8 15 0 15 1 page 7.6 7.7 7.8 7.9 7 .10 7 .11 7 .12 7 .13 7 .14 7 .15 7 .16 7 .17 7 .18 7 .19 7.20 7. 21 LATCHES TIMERS COUNTERS DESIGN AND SAFETY 7.9 .1 FLOW CHARTS SAFETY 7 .10 .1...

Ngày tải lên: 22/12/2013, 20:17

... forward Int Adds Int Div Comp Int Mult exp Real Add Real Mult — 10 24 66 14 22 16 16 16 16 64 646 20 10 258 15 49 19 3 16 - 10 24 - 12 16 - modeling section, preliminary investigations can be made from ... (REVIC) [33] software development cost and time models can be written as follows: 17 SC = Cs 3. 312 × L1.2 × FE × FM × Fi (78 .1) i =1 0.32 17 ST = 4.376 3. 312 × L 1. 2 × FE × FM × Fi (78.2) i =1 SC refers ... Very high Extra high Up to 50% 70% 85% 95% 1. 00 1. 11 1.30 1. 66 1. 00 1. 06 1. 21 1.56 FIGURE 78 .10 : Hardware/software prototyping costs of the system with dedicated hardware elements such as ASICs...

Ngày tải lên: 25/12/2013, 06:16

... i(b1 – b2) c1 • c2 (a1a2 – b1b2) + i(a1b2 – a2b1) c1 c2  a1 a2 + b1 b2   a2 b1 − b2 a1    a2 + b2  + i  a2 + b2         2 2 |c1| c1* 2 a1 + b1 (magnitude or absolute value of c1) ... Function 3 .11 Bode Diagrams of Systems Models Defined in State-Space 14 0 14 0 3 .12 Nyquist Plots of a System Defined in State Space 3 .13 Transient Response Analysis in State-Space 14 1 14 1 3 .13 .1 Unit ... Step Response 3 .13 .2 Unit Ramp Response 14 1 14 2 3 .13 .3 Unit Ramp Response 3 .13 .4 Response to Arbitrary Input 14 2 14 3 14 3 14 3 Summary Problems 2 41 2 41 Bibliography 2 51 3 .14 Response to...

Ngày tải lên: 01/01/2014, 18:43

... PARAMETERS OF TRANSMISSION LINES From Bus To Bus λ μ 1 2 6 6 9 12 12 12 12 14 16 15 18 19 10 10 10 10 21 15 22 23 24 25 25 28 27 27 29 4 6 7 10 11 10 12 13 14 15 16 15 17 18 19 20 20 17 21 22 22 ... (Mvarh)/yr 17 605.47 17 30.79 2 218 . 01 46832.64 73 617 .88 19 520.02 9238.56 54565.78 10 443.33 10 2272. 51 12 14 042. 91 6356.84 14 3046. 91 2009.08 15 3465.64 16 3479 .19 17 11 647 .11 2373.76 18 15 88.22 19 6642.29 ... 5584. 61 17777.68 35 61. 90 48446.32 5 719 .17 11 890.79 11 24030.00 11 319 . 81 49995.85 16 06505.00 EENSQ (MWh/yr) 423 .13 46.80 14 8 .19 92880. 21 711 2.26 9358.23 11 3 .10 5663.05 2550.78 15 9.89 68.25 19 87.96...

Ngày tải lên: 03/01/2014, 19:39