forced vibration of single degree of freedom systems 2 nonperiodic excitation

... 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 )  F2 (t ) . (2) Free vibration ... and Vibration Lab Forced vibration of degree of freedom system X2  k2 F0  m1m2  m1k2  m2 (k1  k2 )   k1k2    .(6) The above two equations give the steady state amplitude of vibration ... will get, m   k2 (k1  k2 ) X1  k2 X  F0 k2 X1  (m2  k2 ) X  .(11) ( 12) By solving equation 11 and 12 we get, X1  k  m2   m1m2  m1k2  m2 (k1  k2 )   k1k2    .(5) and...

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

... Matrices 23 7 23 7 20 1 20 3 20 9 21 2 21 2 22 0 22 4 22 4 22 7 22 8 22 8 23 1 23 9 24 2 Contents 5.1.3 Modal Decomposition Case I: Undamped System (C = 0) Case II: Proportional or Rayleigh Damping 5 .2 Continuous Systems ... Potential Energies of the Beam Exercise Problems xi 24 5 24 6 24 9 25 0 25 0 25 1 25 5 25 8 26 1 26 5 26 5 26 7 26 9 27 1 27 3 27 9 27 9 28 3 28 6 29 1 29 5 APPENDIX A: EQUIVALENT STIFFNESSES (SPRING CONSTANTS) OF BEAMS, ... + k2 b2 )θ = (1.4 .22 ) Energy Method ˙ I Aθ 2 1 PE,P = k1 (aθ )2 + k2 (bθ )2 2 KE,U = (1.4 .23 ) (1.4 .24 ) The total energy is T = U+P = 1 ˙ IAθ + k1 (aθ )2 + k2 (bθ )2 2 (1.4 .25 ) The condition of...

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 ... Analyze menu select Set Options to display the Analysis Options dialog box • Uncheck all of the Available DOFs check boxes except for UX • Verify the the Dynamic Analysis check box is checked • ... dialog box • In this dialog box: À À À 17 Verify that the Number of Modes is Verify that the Eigenvectors option is selected in the Type of Analysis area Click the OK button twice to exit all dialog...

Ngày tải lên: 06/07/2014, 09:20

... m11ω k 12 − m 12 ⎤ ⎛ X ⎞ ⎛ F ⎞ or , ⎢ ⎟=⎜ ⎟ 2 ⎜ ⎣ k21 − m21ω k 22 − m 22 ⎦ ⎝ X ⎠ ⎝ ⎠ 22 5 (51) −1 ⎛ X ⎞ ⎡ k11 − m11ω ⎜ ⎟=⎢ ⎝ X ⎠ ⎣ k21 − m21ω k 12 − m 12 ⎤ ⎛ F ⎞ ⎥ ⎜ ⎟ k 22 − m 22 ⎦ ⎝ ⎠ ⎡ k 22 − m 22 − ... + m2 x2 and 2 1 Potential energy = U = k1 x 12 + k2 ( x1 − x2 ) + k3 x2 2 So, the Lagrangian (3) (4) 1 ⎛1 2 ⎛1 2 (5) L = T − U = ⎜ m1 x 12 + m2 x2 ⎟ − ⎜ k1 x 12 + k2 ( x1 − x2 ) + k3 x2 ⎟ 2 2 ... − k 12 + m 12 ⎤ ⎛ F ⎞ ⎢ ⎥⎜ ⎟ k11 − m11ω ⎦ ⎝ ⎠ ⎣ −k21 + m21ω = k11 − m11ω k 12 − m 12 k21 − m21ω k 22 − m 22 ( 52) Hence X1 (k = 22 ) − m 22 F Z (ω ) , (53) ⎡ k11 − m11ω where [ Z (ω ) ] = ⎢ ⎣ k21...

Ngày tải lên: 29/08/2014, 22:44

... + a1 ( − w ) = 2 2 => [ + GC ( z ) K ] ( + w + w ) + a2 (1 − w ) + a1 ( − 2w + w ) = => [ + GC ( z ) K − a2 + a1 ] w2 + [ + 2GC ( z ) K − 2a1 ] w + + GC ( z ) K + a2 + a1 = (3 .23 ) Để hệ thống ... k0 GP ( z ) = a0 + a1 z −1 + a2 z 2 (3.16) Chuẩn hóa hàm truyền, ta được: GP ( z ) = Kz − k0 + a1 z −1 + a2 z 2 (3.17) 3 .2. 2 Xây dựng điều khiển Two -degree -of- freedom- control miền z Cấu trúc ... − a2 + a1 >   + 2GC ( z ) K − 2a1 > 1 + G ( z ) K + a + a > C  (3 .24 ) Xét riêng hàm truyền hệ quạt gió phẳng: Kz − k0 GP ( z ) = a1 z 2 + a2 z −1 + (3 .25 ) Phương trình đặc trưng: z2 + a2z...

Ngày tải lên: 26/05/2014, 00:05

... SNR of dB with a bandwidth-time product of BT = 100 E[SNRDL ] = = lim Ψ N →∞ 2 β→∞ N →∞ N N −1 , max SNRDL max = lim lim Ψ · − 2Nb ·B 2Nb , = SNRDL · − 2Nb ·B 2Nb , β ,N N N N −1 , (22 ) CΓ + 2 β ... E[γi∗ |h] ≤ + Ψ(b, N), − 2 b (23 ) where Ψ(b, N) = + (CΓ − 1 )2 b + 2 Nb , (1 − 2 b )(N − 1) (24 ) = (28 ) For β ≥ 84, the upper bound in (23 ) is less than 1% ahead of the lower bound In this way, ... standardization of past and current mobile communication systems  12 EURASIP Journal on Advances in Signal Processing (2) The merits of feedback systems should always be weighted against the loss of resources...

Ngày tải lên: 21/06/2014, 22:20

... rotation of the head offering additional degrees of freedom for treatment planning or improved patient comfort Wilbert et al Radiation Oncology 20 10, 5: 42 http://www.ro-journal.com/content/5/1/ 42 Page ... et al Radiation Oncology 20 10, 5: 42 http://www.ro-journal.com/content/5/1/ 42 Page of 11 2. ) Range of rotations detectable by the IR system One of the inherent advantages of this method is that, ... square error of 0 .2 ± 0 .2 mm and 0.07 ± 0.08° was reached respectively The mean 3D vector was 0.4 ± 0 .2 mm 4.) Subject study Repositioning humans to within ± mm and ± 2 (n = 30) took 56 ± 22 seconds...

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- 53/58:153 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 ... 53/58:153 Lecture Fundamental of Vibration Orthogonality of undamped free vibration mode shapes An n degree of freedom system has n natural frequencies...

Ngày tải lên: 29/08/2014, 22:45

... group Flexibility Strength Vibration Plasma [glucose] pretraining (mg / 100 ml) 120 ± 25 126 ± 23 133 ± 57 Plasma [glucose] posttraining (mg / 100 ml) 115 ± 22 120 ± 22 122 ± 35 Significance n.s ... (number of subjects) Age (years) Weight (kp) Height (cm) Stretching (13) Strength (13) 63,3 ± 5,9 62, 9 ± 7,3 62, 2 ± 4,0 88,6 ± 24 ,1 86,5 ± 14,7 83,3 ± 13,4 173 ± 14 ,2 1 72 ± 6,7 177 ± 7 ,2 Vibration ... Diabetes 20 04; 53 :29 4 - 305 10 Kasai T, Kawanishi M, Yahagi S The effects of wrist muscle vibration on human voluntary elbow flexion-extension movements Exp Brain Res 19 92; 90: 21 7 - 20 11 Kennedy...

Ngày tải lên: 26/10/2012, 10:04

... area………………………………………………………… 1.6 Outline of the thesis……………………………………………………… 13 14 14 19 21 23 25 26 26 27 31 Methodology……….… ……… …………………………………………… 33 2. 1 Introduction …………… …………………………………………… 2. 2 Literature review………………………………………………………… ... boundaries, etc.) Examples of open systems are: groundwater systems, social systems, as well as most of the natural systems Four types of variables characterize a model of a system (Kramer and De ... promoter University of Twente, assistant promoter Prof dr.ir A.Y Hoekstra Prof dr.ir H.G Wind Prof dr.ir A.E Mynett Prof dr S.M de Jong Dr M.J Titus University of Twente University of Twente UNESCO-IHE...

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

... [10s] (d) Figure 12 Mass flow rate through the vents for (a) Case 1, (b) Case 2, (c) Case and (d) Case VAV 29 8.5 29 8 29 7.5 Temperature [k] 29 7 29 6.5 29 6 29 5.5 29 5 29 4.5 29 4 1000 20 00 3000 4000 5000 ... and Environment (IJEE), Volume 3, Issue 5, 20 12, pp.667-686 VAV+Radiation Slab 29 8.5 29 8 29 7.5 Temperature [k] 29 7 29 6.5 29 6 29 5.5 29 5 29 4.5 29 4 1000 20 00 3000 4000 5000 6000 7000 8000 7000 8000 ... DV 29 8.5 29 8 Temperature [k] 29 7.5 29 7 29 6.5 29 6 29 5.5 29 5 29 4.5 1000 20 00 3000 4000 5000 6000 Time Step [10s] Controller Temperature Average Volume Temperature (b) Figure 13 Continued ISSN 20 76 -28 95...

Ngày tải lên: 05/09/2013, 15:28

... [8] [9] [10] [11] [ 12] [13] [14] [15] [16] [17] [18] [19] [20 ] [21 ] [22 ] [23 ] [24 ] [25 ] [26 ] [27 ] International Journal of Energy and Environment (IJEE), Volume 4, Issue 1, 20 13, pp.49-58 capabilities ... Elgar Publishing, 20 09 Rogers E.M Diffusion of innovations 5th edition Free Press, 20 03 Griliches Z Hybrid corn and the economics of innovation Science 1960, 1 32( 3 422 ), 27 5 -28 0 Kotler P Marketing ... case of Thailand, there is also no shortage of solar energy The intensity of solar radiation in Thailand lies between 14 .25 -23 .76 MJ/m2 [20 ] This makes Thailand a good location for utilizing PV systems...

Ngày tải lên: 05/09/2013, 16:10

... Nuclear Hydro 25 % Wind Solar 20 % 15% 10% 5% 0% 1990 20 00 20 10 20 20 20 30 20 40 20 50 20 60 Year Figure 12 Share of global electricity production After 20 30 the population in several regions of the world ... 1000 800 600 400 20 0 20 05 20 10 20 15 20 20 20 25 20 30 20 35 Year Figure 13 Global PV cumulative capacity up to year 20 30 Figure 13 and Figure 14 illustrate the forecasted development of the global PV ... development 25 00 24 00 23 00 22 00 21 00 20 00 1900 1800 1700 1600 1500 1400 1300 120 0 1100 1000 900 800 700 600 500 400 300 20 0 100 1994 Germany Japan USA Spain Italy France UK 1995 1996 1997 1998 1999 20 00...

Ngày tải lên: 05/09/2013, 16:10

... Summary 27 1 27 1 27 1 27 3 27 3 27 3 27 5 27 8 27 8 27 9 28 0 28 9 28 9 29 2 29 4 29 4 29 6 305 305 306 310 3 12 314 CNC Architecture Design ... 7.7 .2 Executor Programming Sequence 7.7.3 Executor Implementation Example 22 9 22 9 23 0 23 4 23 5 24 0 24 2 24 4 24 5 24 7 24 8 24 9 25 3 25 4 xiv Contents ... 187 187 187 188 193 199 20 3 20 8 21 1 21 3 21 5 22 2 22 5 22 6 Part II Open-architectural Soft CNC Systems Programmable Logic Control ...

Ngày tải lên: 08/09/2013, 20:50

... Review Questions 7 72 Exercises 773 Selected Bibliography 775 chapter 22 Concurrency Control Techniques 22 .1 22 .2 22. 3 22 .4 22 .5 22 .6 22 .7 755 759 777 Two-Phase Locking Techniques for Concurrency Control ... Database 22 0 7.7 ER Diagrams, Naming Conventions, and Design Issues 22 1 7.8 Example of Other Notation: UML Class Diagrams 22 6 7.9 Relationship Types of Degree Higher than Two 22 8 7.10 Summary 23 2 Review ... EER-toRelational 11, 12 ODB, ORDB, XML 4, SQL 13, 14 DB, Web Programming 21 , 22 , 23 Transactions, CC, Recovery 26 , 27 Advanced Models, IR 10 DB Design, UML 24 , 25 Security, DDB 28 , 29 Data Mining,...

Ngày tải lên: 07/12/2013, 11:33

... 7 .25 7 .26 7 .27 20 7 20 8 20 9 20 9 21 0 21 1 21 2 21 3 21 6 21 6 21 9 22 1 22 3 22 4 22 7 23 7 23 8 PLCS AND NETWORKING 24 0 8.1 8 .2 8.3 8.4 8.5 7 .21 .2 For-Next 7 .21 .3 Conveyor IMPLEMENTATION ... 1 62 1 62 163 164 164 165 165 166 168 169 1 72 1 72 1 72 173 174 174 175 175 179 181 1 82 1 82 184 191 191 193 194 195 196 198 198 199 20 0 20 2 20 3 20 3 20 6 20 7 page 7 .22 7 .23 7 .24 7 .25 7 .26 7 .27 20 7 20 8 ... 9 .2. 1 Basic Robotic Systems 9 .2. 2 Types of Robots Robotic Arms Autonomous/Mobile Robots Automatic Guided Vehicles (AGVs) MECHANISMS ACTUATORS 26 2 26 2 26 6 26 6 27 0 27 1 27 6 27 6 27 7 27 7 28 0 28 0 28 1...

Ngày tải lên: 22/12/2013, 20:17

... requirements: Opportunities and impediments, [19] [20 ] [21 ] [22 ] [23 ] [24 ] [25 ] [26 ] [27 ] [28 ] [29 ] [30] [31] [ 32] [33] [34] [35] [36] [37] [38] c IEEE Proceedings of the International Conference on Acoustics, ... [27 , 28 ] The toolset automates the translation of software architecture specifications to design implementations of application and control software for a signal processing system Hardware/software ... (REVIC) [33] software development cost and time models can be written as follows: 17 SC = Cs 3.3 12 × L1 .2 × FE × FM × Fi (78.1) i=1 0. 32 17 ST = 4.376 3.3 12 × L 1 .2 × FE × FM × Fi (78 .2) i=1 SC refers...

Ngày tải lên: 25/12/2013, 06:16

... and Poles of B(s)/A(s) 71 72 2 .21 Control Systems 2. 21.1 Transfer Functions 72 72 2 .21 .2 Model Conversion 2. 22 The Laplace Transforms 72 75 2. 23 Summary Problems 111 113 125 3.1 Introduction ... 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) ... 2. 1.5 Abort 27 27 2. 1.6 The Semicolon 2. 1.7 Typing % 27 27 2. 1.8 The clc Command 2. 1.9 Help 27 27 2. 1.10 Statements and Variables 2. 2 Arithmetic Operations 28 28 2. 3 Display Formats 2. 4...

Ngày tải lên: 01/01/2014, 18:43