free vibration of multi degree of freedom systems

... stability of an SDOF spring–mass–damper system is presented along with examples of self-excited oscillations found in practice 1.1 DEGREES OF FREEDOM Degrees of freedom (DOF) are the number of independent ... Single -Degree -of- Freedom System and Free Vibration 1.1 Degrees of Freedom 1.2 Elements of a Vibratory System 1.2.1 Mass and/or Mass-Moment of ... transverse vibration of a beam Last, the finite element method is introduced via examples of the longitudinal vibration of a bar and the transverse vibration of a beam EQUIVALENT SINGLE -DEGREE -OF- FREEDOM...

Ngày tải lên: 08/04/2014, 11:49

... the normal modes of vibration of a double pendulum with same length and mass of the pendulum Develop a matlab code for determination of free- vibration of a general two -degree of freedom system ... x2 ⎠ Damped -free vibration of two-dof systems Consider a two degrees of freedom system with damping as shown in figure x1 k1 c1 m1 x2 k2 c2 m2 k3 c3 Figure Now the equation of motion of this system ... 2k / m Tuned Vibration Absorber Consider a vibrating system of mass m1 , stiffness k1 , subjected to a force F sin ωt As studied in case of forced vibration of single -degree of freedom system,...

Ngày tải lên: 29/08/2014, 22:44

... to freedom of expression and freedom of the media across the OSCE region Second, the study assesses the impact these regulations and practices have on the free flow of information and the freedom ... freedom of expression on the Internet The study is a compilation of a comprehensive OSCE-wide legal matrix of legal provisions related to freedom of expression, freedom of the media and the free ... According to the Council of Europe Committee of Experts for the Development of Human Rights (DH-DEV) “at the core of the examination of any interference in the exercise of freedom of opinion is therefore...

Ngày tải lên: 18/02/2014, 00:20

... gian tìm hiểu, học viên định chọn điều khiển Two -degree -of- freedom- control làm đối tượng nghiên cứu Dựa vào lý thuyết điều khiển Two -degree -of- freedom- control, học viên áp dụng để điều khiển đối ... phương pháp điều khiển hệ thống có trễ, tập trung vào phương pháp Two -degree -of- freedom- control - Kết hợp điều khiển Two -degree -of- freedom- control với điều khiển Tự chỉnh định STR - Áp dụng phương ... tốt Two -degree -of- freedom- control để tiến hành nghiên cứu phát triển, sau áp dụng vào hệ quạt gió phẳng để kiểm chứng Chương 2: Trình bày chi tiết lý thuyết điều khiển Two -degree -of- freedomcontrol...

Ngày tải lên: 26/05/2014, 00:05

... 150 nm The use of this couple of electrodes is aimed at eliminating the change of charges in solution allowing the improvement of the signal to noise (S/N) ratio of WE Morphologies of pure PPy, ... diameter of MWCNT is in the range of 40–60 nm and with a length of 1–2 ␮m All aqueous solutions were prepared using Milli-Q water (18 M cm) 1165 Table Composition of PBS buffer and sequences of used ... QCM measurements enable the detection of the variation of attached mass through the modification of the quartz crystal frequency to occur Under the condition of linear behavior, occurred when the...

Ngày tải lên: 02/07/2014, 14:14

... 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

... partition of a set V is a partition of V into pairwise disjoint classes V1 , · · · , Vk of almost equal size, i.e., |Vi| − |Vj | ≤ for all i, j An equitable partition of the set of vertices V of G ... good By the definition of “good” and by the assumption on the minimum degree of G, the degree of each good vertex in G is at least − r−1/3 + k − 2ηk − 1, since deletion of the edges from non-regular ... ) of the vertices of G into r parts which maximizes the number of crossing edges between the parts Then for every x ∈ Vi and j = i the number of neighbors of x in Vi is at most the number of...

Ngày tải lên: 07/08/2014, 13:21

... 0.08 ± 0.1 0.06 ± 0.1 grey value match of CBCT2 with planning CT group mean error (M) root mean square of random errors (σ) Degree of freedom (DoF) In a total of fractions, the initial IR-based position ... Infrared, CBCT = cone-beam CT, DoF = degrees of freedom The position of the infrared markers, as read by the ceiling mounted infrared cameras is saved within the PatMon software (= IR-dataset1) After ... mechanical arm Patients can be positioned with any pitch, roll or yaw rotation of the head offering additional degrees of freedom for treatment planning or improved patient comfort Wilbert et al...

Ngày tải lên: 09/08/2014, 08:23

... 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 ... 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...

Ngày tải lên: 29/08/2014, 22:41

... 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 ... for 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...

Ngày tải lên: 29/08/2014, 22:45

... 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 • ... columns are replaced by the  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  ... 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 ...

Ngày tải lên: 29/08/2014, 22:45

... discussions during the preparation of this paper and for enabling him to make use of all facilities of the Institute of Mechanics of TH D arm stadt The support of D A A D is gratefully acknowledged ... cifed vibrations, J Sound and Vibration 42 (1975) 252 A Tondl, Q u e n c h in g of self-excited vibrations Effect of dry friction, J Sound and V ibration 45 ( ) 285 A Tondl, A p plicatio n of tu ... formulae of the previous sections are formally transfered to the case of vibra­ tion of th e b e a m , and th e analogous conclusions of those section s will also be obtained For the sake of brevity...

Ngày tải lên: 08/04/2015, 15:29

... of degrees of freedom In this harmonic expression, i is a vector of nodal amplitudes (the mode shape) for the ith mode of vibration The symbol i represents the angular (natural) frequency of ... conductive to hand calculations for problems having a small number of degrees of freedom However, a structure with a large number of freedoms (as in the present study) must be handled by a computer ... sample Parameters Radius of cylinder Length of cylinder Angle Thickness of cylinder Thickness of stiffeners Height of stiffeners No stiffeners Type of stiffeners Modulus of elasticity Mass density...

Ngày tải lên: 09/09/2015, 10:17

... Literature Review of FHSS 2  1.2.1  Slow FHSS Systems 4  1.2.2  Fast FHSS Systems 4  1.2.3  Synchronization of FH Systems 6  1.2.4  Typical Types of Jamming Against ... .x  LIST OF FIGURES xi  LIST OF ABBREVIATIONS xv  LIST OF SYMBOLS xvi  CHAPTER 1  INTRODUCTION .1  1.1  Introduction of Spread Spectrum Systems ... LIST OF SYMBOLS i phase shift and attenuation of the ith hop for desired signal  kp phase shift and attenuation of the ith hop for jamming signal dp pilot symbol Eb N ratio of bit energy of the...

Ngày tải lên: 11/09/2015, 09:58

Ngày tải lên: 04/10/2015, 17:05

... DETECTION FOR MULTI ANTENNA SLOW FHSS/MFSK SYSTEMS IN THE PRESENCE OF FOLLOWER JAMMING ALAGUNARAYANAN NARAYANAN (B.E., ANNA University) A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING ... SPECTRUM SYSTEMS 1.5.1 SLOW FHSS SYSTEMS 11 1.5.2 FAST FHSS SYSTEMS 11 PERFORMANCE OF FHSS SYSTEMS IN A JAMMING ENVIRONMENT 12 1.7 RESEARCH OBJECTIVE and CONTRIBUTIONS 13 1.8 STRUCTURE OF THE THESIS ... coming MAI (Multiple Access Interference) in OFDM systems is an interesting research area For future work, using the proposed system to eliminate multi access interference (MAI) in OFDM systems can...

Ngày tải lên: 13/10/2015, 15:54

... 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 ... five different types of integration within the framework of Integrated Assessment Modelling (IAM) These are integrations of disciplines, of models, of scales, of issues, and of stakeholders Scrase...

Ngày tải lên: 06/11/2012, 10:35

... 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 ... 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 ... 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...

Ngày tải lên: 06/11/2012, 14:13

... walls of office buildings and the floors of residential units for temperature control, while only distributing the volume of air required for ventilation This decoupled system allows for 100% of ... (0.3048 m) off of the rear wall as shown in Figure 4, which gives an area of 2.25 ft2 (0.2090 m2) for each vent Case has a volume of 1,368 ft3 (38.74 m3) By meeting the guidelines of four air ... The outlet vent area of Case is double the size of the outlet vent area of Case Each outlet vent is of the size, 9" × 36" (0.2286 m × 0.9144 m) spaced 12", giving an area of 4.5 ft2 (0.418 m2))...

Ngày tải lên: 05/09/2013, 15:28

... 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 ... (NSTDA); iii Office of the Basic Education Commission (OBEC); iv Office of the Non-formal and Informal Education (ONIE); v Vocational Education Commission (VEC); NSTDA (2008) Memorandum of understanding ... transformation to sustainable forms of energy in rural areas of developing countries may take time and need a lot of efforts Even if the energy is provided for free of charge, there may be switching...

Ngày tải lên: 05/09/2013, 16:10