preventive maintenance of mechanical systems

... problematic of solving linear systems of interval equations We will then introduce a new formulation of the problem, based on interval parameters which is adapted for the modeling of mechanical systems ... different mechanical systems, and also evaluate the Interval Computations Applied to FEM amount of computations on simple discrete systems, as well as the accuracy of the solutions RESOLUTION OF INTERVAL ... point of view, and the others often encounter convergence problems Moreover, only the mean value and the moments (often the variance only) are known, and since the density of probability of the...

Ngày tải lên: 12/01/2014, 21:45

... MODELLING OF MECHANICAL SYSTEMS VOLUME MODELLING OF MECHANICAL SYSTEMS VOLUME Structural Elements Franỗois Axisa and Philippe Trompette ... in the absence of permanent flow, and finally, Flow-Induced Vibrations The purpose of the series is to equip the reader with a good understanding of a large variety of mechanical systems, based ... help of many people Unfortunately, it is impossible to properly acknowledge here all of them individually However, I wish to express my gratitude to Alain Hoffmann head of the Department of Mechanics...

Ngày tải lên: 22/03/2014, 13:20

... Response of an Undamped 2DOF System Solution 4.4 Forced Response of an Undamped 2DOF System Under Sinusoidal Excitation 4.5 Free Vibration of a Damped 2DOF System 4.6 Steady-State Response of a Damped ... differential equation of motion of an undamped SDOF spring–mass system is derived along with its solution Then the solution of the differential equation of motion of an SDOF spring– mass–damper ... 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...

Ngày tải lên: 08/04/2014, 11:49

... MODELLING OF MECHANICAL SYSTEMS VOLUME MODELLING OF MECHANICAL SYSTEMS VOLUME Structural Elements Franỗois Axisa and Philippe Trompette ... in the absence of permanent flow, and finally, Flow-Induced Vibrations The purpose of the series is to equip the reader with a good understanding of a large variety of mechanical systems, based ... help of many people Unfortunately, it is impossible to properly acknowledge here all of them individually However, I wish to express my gratitude to Alain Hoffmann head of the Department of Mechanics...

Ngày tải lên: 27/06/2014, 05:20

... MODELLING OF MECHANICAL SYSTEMS VOLUME MODELLING OF MECHANICAL SYSTEMS VOLUME Structural Elements Franỗois Axisa and Philippe Trompette ... in the absence of permanent flow, and finally, Flow-Induced Vibrations The purpose of the series is to equip the reader with a good understanding of a large variety of mechanical systems, based ... help of many people Unfortunately, it is impossible to properly acknowledge here all of them individually However, I wish to express my gratitude to Alain Hoffmann head of the Department of Mechanics...

Ngày tải lên: 27/06/2014, 08:20

... Fellow of the Michigan Society of Engineers, and a Fellow of the National Academy of Forensic Engineers Ronald L Huston, Ph.D., P.E., is distinguished research professor and professor of mechanics ... accelerations of the members of the system Inertia is a study of the mass properties of the bodies of a system and of the system as a whole in various configurations Kinetics is a study of forces ... value of the scalar s The direction of sV is the same as that of V if s is positive and opposite that of V if FIGURE 1.5.2 s is negative Figure 1.5.2 shows some examples of Examples of products of...

Ngày tải lên: 27/06/2014, 15:20

... Fellow of the Michigan Society of Engineers, and a Fellow of the National Academy of Forensic Engineers Ronald L Huston, Ph.D., P.E., is distinguished research professor and professor of mechanics ... accelerations of the members of the system Inertia is a study of the mass properties of the bodies of a system and of the system as a whole in various configurations Kinetics is a study of forces ... value of the scalar s The direction of sV is the same as that of V if s is positive and opposite that of V if FIGURE 1.5.2 s is negative Figure 1.5.2 shows some examples of Examples of products of...

Ngày tải lên: 10/08/2014, 20:20

... number of rows of the second matrix B When this occurs, the matrices are said to be conformable If C is the product AB, then the element cij is the sum of products of the elements of the ith row of ... of A with the corresponding elements of the jth column of B Specifically, n cij = ∑a b ik kj k =1 where n is the number of columns of A and the number of rows of B (2.10.5) 0593_C02_fm Page 40 Monday, ... magnitude of F be lb 0593_C02_fm Page 52 Monday, May 6, 2002 1:46 PM 52 Dynamics of Mechanical Systems a Find a unit vector n parallel to L, in the direction of P to Q Express the results in terms of...

Ngày tải lên: 10/08/2014, 20:20

... a measure of the orientation of B in R In this context, the angular velocity of B in R is a measure of the rate of change of orientation of B in R The simple angular acceleration α of B in R ... (5.2.2) The number of degrees of freedom of a mechanical system is sometimes defined as the difference between the number of coordinates needed to define the location of the particles of the system ... the movements of the particles of B in one of the planes (parallel to the planes of motion), we are in effect considering the motion of all the particles of B That is, any particle of B not in...

Ngày tải lên: 10/08/2014, 20:20

... the analysis of forces and sets of forces (force systems) as they are applied with mechanical systems We will consider various representations of force systems, various kinds of force systems, and ... mechanical system FIGURE 6.3.2 A set of forces acting on a mechanical system 0593_C06_fm Page 166 Monday, May 6, 2002 2:28 PM 166 Dynamics of Mechanical Systems The resultant R of a system of ... know the location of a typical point P of B, the velocity of P, and the angular speed of B, we can locate the center C of zero velocity of B Let Q be a second typical point of B (distinct from...

Ngày tải lên: 10/08/2014, 20:20

... square of the distance of P from O and it also depends upon the direction of the unit vector na The form of the definition of Eq (7.2.1) is motivated by the form of the terms of the inertia torque of ... elements Iij of the inertia matrix Indeed, they may be identified as: II = sum of diagonal elements of Iij III = sum of diagonal elements of the cofactor matrix of Iij IIII = determinant of Iij 0593_C07_fm ... 190 Dynamics of Mechanical Systems a Determine the resultant R of this system of forces b Find the moments of the force system about points C, H, E, and G Express the results in terms of the unit...

Ngày tải lên: 10/08/2014, 20:20

... of both rods T* Q1 Q F* G2 mg FIGURE 8.10.4 Free-body diagram of rod B2 T2 0593_C08_fm Page 260 Monday, May 6, 2002 2:45 PM 260 Dynamics of Mechanical Systems Setting moments of these force systems ... than Newton’s laws for the analysis of some classes of systems Some of these other principles have been formulated independently of Newton’s laws, but all of the principles are fundamentally ... the principles of dynamics we can obtain mathematical models of the behavior of mechanical systems In this chapter, and in subsequent chapters, we will explore the principles of dynamics and...

Ngày tải lên: 10/08/2014, 20:20

... left side of Eq (10.6.2) may be recognized as the power of F (see Eq (10.4.2)) The right side of Eq (10.6.2) may be expressed in terms of a derivative of the square of the velocity of P That ... definition of work of Eq (10.2.2) takes the form: (10.2.12) 0593_C10_fm Page 324 Monday, May 6, 2002 2:57 PM 324 Dynamics of Mechanical Systems t* ∫ W = F ⋅ v dt (10.2.13) where t* is the time of action ... action of gravity FIGURE 10.2.6 ˆ A differential arc of an arbitrary curve C It happens that Eq (10.2.18) is a valid expression for the work of the gravity force regardless of the path of descent of...

Ngày tải lên: 10/08/2014, 20:20

... Cartesian reference frame The number of degrees of freedom of a mechanical system is the number of coordinates of the system if it were unrestricted minus the number of constraint equations For example, ... 2:59 PM 368 Dynamics of Mechanical Systems S k P(m) S P1 n h(q r ,t) P2 R R FIGURE 11.6.1 Elevation of a particle P of a mechanical system S FIGURE 11.6.2 A spring within a mechanical system S ... called constraint equations A mechanical system may have any number of constraint equations, often more than the number of degrees of freedom For example, the particle of Figure 11.2.1, restricted...

Ngày tải lên: 10/08/2014, 20:20

... Coordinates, Constraints, and Degrees of Freedom P11.2.1: Determine the number of degrees of freedom of the following systems: a Pair of eyeglasses b Pair of pliers or pair of scissors c Child’s tricycle ... 0593_C11_fm Page 390 Monday, May 6, 2002 2:59 PM 390 Dynamics of Mechanical Systems where as before, n is the number of degrees of freedom of the system (The minus sign is chosen so that P is positive ... at the end of a spring which is part of a mechanical system S as depicted in Figure 11.11.4 Let S have n degrees S S Q(m) k O h(q r ,t) R FIGURE 11.11.3 Elevation of a particle Q of a mechanical...

Ngày tải lên: 10/08/2014, 20:20

... currently a major interest of vibration analysts 13.7 Systems with Several Degrees of Freedom We consider next mechanical systems where more than one body can oscillate An example of such a system might ... of the ratio of amplitudes of successive cycles of vibration is called the logarithmic decrement Compute δ for the system of Problem P13.5.1 P13.5.4: See Problem P13.5.1 Determine the value of ... applications of these principles in vibrations, stability, balancing, and in the study of mechanical components such as gears and cams 0593_C12_fm Page 436 Monday, May 6, 2002 3:11 PM 436 Dynamics of Mechanical...

Ngày tải lên: 10/08/2014, 20:20

... 7:05 AM 516 Dynamics of Mechanical Systems P1 (m) FIGURE 15.3.3 Dynamic balancing of the shaft of Figure 15.3.2 Q (m) Q (m) P2 (m) ˆ where M is the mass of the body (or mechanical system), aG ... AM 522 Dynamics of Mechanical Systems Next, consider the addition of a particle P with mass m and coordinates (x, y) as in Figure 15.5.1 The components of the inertia dyadic of P relative to ... distribution of power strokes The arrangement of the strokes and, in particular, the occurrence of the power strokes, is often called the firing order of the engine To explore the effect of the firing...

Ngày tải lên: 10/08/2014, 20:20