Vibration of Structures and Machines

Genta, Giancarlo

doi:10.1007/978-1-4757-1111-0

Cited by 58 publications

(88 citation statements)

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“…It is known that in order to establish a mean reference cycle, the average of more than 100 cycles -for a spark ignition engine -and of about 50 cycles -for a diesel engine -is necessary. These cyclic fluctuations invalidate the hypothesis of truly steady state operating conditions [4,9].…”

Section: Introductionmentioning

confidence: 84%

“…The motion of the crankshaft can be observed as two combined movements: the motion of the crankshaft as a rigid body and the torsional deformation. This approach is complex due to the variability of instantaneous angular speed of the crankshaft as a rigid body [4,16]. Another approach is to observe the motion of the crankshaft as a motion with mean (constant) angular speed and to add the variable part of motion of every lumped mass.…”

Section: Crankshaft Dynamicsmentioning

confidence: 99%

“…The equivalent moment of inertia is variable and a function of the crank angle of uniform motion. Detailed analysis can be found in [4,5]. Fig.…”

Section: mentioning

confidence: 99%

“…The absolute damping coefficient k was determined by the measurement of brake power and the constant part of the torque which is gained by a harmonic analysis of the indicated pressure. The braking load can be approximated as constant [4,9,10,11,18]. Furthermore, it can be assumed that this torque is acting on the last mass of the equivalent dynamic model.…”

Section: Parameters Of the Lumped Mass Model Of The Crankshaftmentioning

confidence: 99%

“…The idea of using a lumped mass model for the crankshaft dynamics is conceptually straightforward [4], [5], [7] and [8]. Machines containing reciprocating elements have some characteristic dynamic problems.…”

Section: Introductionmentioning

confidence: 99%

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Determination of Differential Equations of Motion and Parameters of an Elastic Internal Combustion Engine Crankshaft

et al. 2016

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SummaryThe goal of this paper is to develop mathematically less complex differential equations of motion of an elastic crankshaft and their solutions with acceptable accuracy in relation to the actual system. The instantaneous angular speed of the free end of the crankshaft consists of the nonuniform rigid body motion mode and elastic deformation mode. In general, the crankshaft, as well as other parts of the engine, could be considered as a structural component with distributed mass and elasticity. This will lead to a system with an infinite number of degrees of freedom, and require solving partial differential equations. Another approach is to discretize the continuous system into a finite set of rigid bodies interconnected with springs and dampers, which is the method chosen here. The lumped mass model of the crankshaft and the corresponding differential equations of motion for each mass simulate the actual dynamics of the crankshaft fairly accurately.

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Section: Introductionmentioning

confidence: 84%

Section: Crankshaft Dynamicsmentioning

confidence: 99%

“…The equivalent moment of inertia is variable and a function of the crank angle of uniform motion. Detailed analysis can be found in [4,5]. Fig.…”

Section: mentioning

confidence: 99%

Section: Parameters Of the Lumped Mass Model Of The Crankshaftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Determination of Differential Equations of Motion and Parameters of an Elastic Internal Combustion Engine Crankshaft

et al. 2016

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Eigenfrequency Allocation Using Undamped Passive Vibration Absorbers

Loccufier¹,

Noldus²

2001

Z. angew. Math. Mech.

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A new systems theoretical approach to the design of passive vibration absorbers for elastic systems is presented. Undamped lumped parameter models of flexible mechanical structures are considered. Necessary and sufficient conditions are derived under which a preselected eigenfrequency spectrum can be assigned to such a system using an undamped lumped parameter vibration absorber. The realizable eigenfrequency spectra are analytically characterized, the required dynamical order of the absorber is established, and a design method for its parameters is outlined.

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Stability analysis of discretized structure systems based on the complex network with dynamics of time‐varying stiffness

Wang

2021

Math Methods in App Sciences

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The stability analysis of dynamic continuous structural system (DCSS) has often been investigated by discretizing it into several low-dimensional elements. The integrated results of all elements are employed to describe the whole dynamic behavior of DCSS. In this paper, DCSS is regarded as the complex dynamic network with the discretized elements as the dynamic nodes and the time-varying stiffness as the dynamic link relations between them, by which the DCSS can be regarded to be the large-scale system composed of the node subsystem (NS) and link subsystem (LS). Therefore, the dynamic model of DCSS is proposed as the combination of dynamic equations of NS and LS, in which their state variables are coupled mutually. By using the model, this paper investigates the stability of DCSS. The research results show that the state variables of NS and LS are uniformly ultimately bounded (UUB) associated with the synthesized coupling terms in LS. Finally, the simulation example is utilized to demonstrate the validity of method in this paper. K E Y W O R D Scomplex dynamic network, dynamic continuous structural system, the node subsystem and link subsystem, uniformly ultimately bounded Highlights• Complex dynamic network model of DSS: the discretized structure system (DSS) can be regarded as the complex dynamic network, in which the discretized elements are chosen as the dynamic nodes and the time-varying stiffness as the dynamic link relations between them. • Dynamics of stiffness: The dynamical model of stiffness variation is regarded as the behavior of link subsystem, which is represented by the differential equation coupled with the displacement and velocity state of discretized elements, which is seldom shown in the existing literature. • UUB Stability of nodes by the stiffness dynamics: In case of the external force is loaded, the coupled term in stiffness variation dynamics is mathematically synthesized to influence the elements achieving the uniformly ultimately bounded (UUB) stability in Lyapunov sense, which is seldom discussed in the existing literature.

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Vibration of Structures and Machines

Cited by 58 publications

References 0 publications

Determination of Differential Equations of Motion and Parameters of an Elastic Internal Combustion Engine Crankshaft

Determination of Differential Equations of Motion and Parameters of an Elastic Internal Combustion Engine Crankshaft

Eigenfrequency Allocation Using Undamped Passive Vibration Absorbers

Stability analysis of discretized structure systems based on the complex network with dynamics of time‐varying stiffness

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