Steady-State Dynamic Response of a Limited Slip System

1968 ◽  
Vol 35 (2) ◽  
pp. 322-326 ◽  
Author(s):  
W. D. Iwan
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Slip System ◽  
External Load ◽  
Initial Conditions ◽  
Viscous Damping ◽  
Steady State Response ◽  
Response Curves ◽  
State Response ◽  
System Nonlinearity

The steady-state response of a system constrained by a limited slip joint and excited by a trigonometrically varying external load is discussed. It is shown that the system may possess such features as disconnected response curves and jumps in response depending on the strength of the system nonlinearity, the level of excitation, the amount of viscous damping, and the initial conditions of the system.

Analytical Method of Response of Piping System With Nonlinear Support

2000 ◽  
Vol 122 (4) ◽  
pp. 437-442
Author(s):  
Shigeru Aoki ◽  
Takeshi Watanabe
Keyword(s):  
Approximate Solution ◽  
Steady State ◽  
Analytical Method ◽  
Mode Shapes ◽  
Piping System ◽  
Steady State Response ◽  
Response Curves ◽  
State Response ◽  
Damping Characteristics ◽  
Nonlinear Support

This paper deals with steady-state response of the piping system with nonlinear support having hysteresis damping characteristics. Considering the energy loss for contact with a support, an analytical method of approximate solution for the beam, a one-span model of the piping system, with quadrilateral hysteresis loop characteristics is presented. Some numerical results of the approximate solution for the response curves and the mode shapes are shown. [S0094-9930(00)00204-3]

Stability of a Vehicle on a Multispan Simply Supported Guideway

1978 ◽  
Vol 100 (4) ◽  
pp. 326-332 ◽  
Author(s):  
Y. I. Chung ◽  
J. Genin
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Suspension System ◽  
Performance Criteria ◽  
Inertial Effect ◽  
Steady State Response ◽  
Span Length ◽  
Simply Supported ◽  
State Response

The dynamic response of a vehicle, with a conventional suspension system, traversing a multispan simply supported guideway system is studied parametrically. The steady state response of the system and conditions for dynamic instabilities are presented for the case where the ratio of vehicle length/span length is small. Using vehicle heave acceleration and maximum guideway deflection as performance criteria, it is shown that the interactive inertial effect is significant, even at relatively low traversing speeds.

Dynamic Response of Eccentric Face Seals to Synchronous Shaft Whirl

2004 ◽  
Vol 126 (2) ◽  
pp. 301-309 ◽  
Author(s):  
J. Wileman
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Solution Technique ◽  
Steady State Response ◽  
Analytical Technique ◽  
State Response ◽  
Flexible Supports ◽  
Simple Matrix ◽  
The Stability ◽  
Degenerate Cases

This work provides an analytical technique for computing the seal face misalignment which results from synchronous whirl of the shaft. The eccentric dynamic response is obtained for seals in which both mating faces are mounted on flexible supports. Responses for seals with a single flexibly mounted stator or rotor are also obtained as degenerate cases of the more general result. Synchronous shaft whirl is shown to have a significant effect on the steady-state response of all these seals, while not affecting the stability threshold. The steady-state response is obtained by solution of a simple matrix equation for the general case, and can be obtained in closed form for the degenerate cases of the flexibly mounted stator or flexibly mounted rotor. A numerical example of the solution technique is presented, and the influence of speed is examined. Extension of the method to shaft motions other than synchronous whirl is briefly discussed.

Response of Cylindrical Sandwich Shells to Moving Loads

1967 ◽  
Vol 34 (1) ◽  
pp. 81-86 ◽  
Author(s):  
G. Herrmann ◽  
E. H. Baker
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Initial Stress ◽  
Axial Stress ◽  
Steady State Response ◽  
Sandwich Shell ◽  
Moving Loads ◽  
Axially Symmetric ◽  
Cylindrical Sandwich Shell ◽  
State Response

This paper presents an analysis into the dynamic response of a long cylindrical sandwich shell under a moving axially symmetric ring load. The shell is assumed to be orthotropic and subjected to an initial axial stress. The uniform velocity of the load is prescribed and only the steady-state response is considered. Numerical results indicate the effects of various relevant parameters. The behavior of orthotropic sandwich cylinders under initial stress is compared with that of homogeneous isotropic cylindrical shells free of initial stress, and differences are pointed out.

Assessments of Structure-Dependent Integration Methods with Explicit Displacement and Velocity Difference Equations

2017 ◽  
Vol 34 (6) ◽  
pp. 771-778 ◽  
Author(s):  
S. Y. Chang ◽  
T. H. Wu
Keyword(s):  
Steady State ◽  
High Frequency ◽  
Initial Conditions ◽  
Time Integration ◽  
Steady State Response ◽  
Integration Methods ◽  
Practical Applications ◽  
High Frequency Response ◽  
State Response ◽  
Structural Nonlinearity

AbstractA family of structure-dependent integration methods has been proposed by Gui et al. for time integration. Although it has desirable numerical properties, such as unconditional stability, explicit formulation and second-order accuracy, it has some adverse properties, such as a poor capability to capture structural nonlinearity, an overshoot in a high frequency steady- state response and a weak instability in the high frequency response of nonzero initial conditions. The causes of these adverse properties are explored. A poor capability to capture structural nonlinearity may originate from the convergence rate of 1 in velocity error. This family method has an overshoot in a high frequency steady-state response and this overshoot can be eliminated by adding a load-dependent term into the displacement difference equation. It is also analytically verified that the family method generally has no weak instability. However, the special member with λ = 4, i.e., CR explicit method, is shown to have a weak instability. Thus, it must be prohibited from practical applications although many applications of this method were found in the literature.

scholarly journals Reduction of the Measurement Time by the Prediction of the Steady-State Response for Quartz Crystal Microbalance Gas Sensors

Sensors ◽  
2018 ◽  
Vol 18 (8) ◽  
pp. 2475 ◽  
Author(s):  
Diana Osorio-Arrieta ◽  
José Muñoz-Mata ◽  
Georgina Beltrán-Pérez ◽  
Juan Castillo-Mixcóatl ◽  
Claudia Mendoza-Barrera ◽  
...  
Keyword(s):  
Steady State ◽  
Quartz Crystal Microbalance ◽  
Gas Sensors ◽  
Quartz Crystal ◽  
Measurement Time ◽  
Steady State Response ◽  
Response Curves ◽  
Time Constants ◽  
State Response ◽  
Calculated Parameter

This paper presents a new approach to reduce the measurement time by the prediction of the steady-state using the transient response to ethanol for quartz crystal microbalance gas sensors coated with ethyl cellulose. The experimentally measured response curves were successively fitted using a mathematical model based on the sum of two exponentials with different time constants. The parameters of the model were determined, and the time constants and the magnitude of the steady-state response were analyzed. Even though the time constants did not stabilize well, the parameter corresponding to the magnitude of the steady-state response quickly converged and stabilized after 37 s. Moreover, this calculated parameter was highly correlated with the measured values of the steady-state response, which was measured at five times the longest time constant (83 s) of the model. Therefore, the steady-state response could be predicted with a 55% reduction in the measurement (detection) time.

Dynamic Response of Pressurized Thin Cylindrical Shells Subjected to Torsional Loads

1973 ◽  
Vol 95 (3) ◽  
pp. 797-802
Author(s):  
P. G. Kessel ◽  
N. K. Liao
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Biaxial Stress ◽  
Steady State Response ◽  
Thin Cylindrical Shell ◽  
Line Load ◽  
State Response ◽  
Dynamic Loadings ◽  
Torsional Loads ◽  
Shell Geometry

This paper presents a theoretical analysis of the transient and steady-state response of a thin cylindrical shell of finite length, simply supported at both ends, under a uniform initial biaxial stress and subjected to either a circumferentially tangential harmonic point force of a sinusoidally distributed harmonic line load acting in the circumferential direction. The analyses are based on both Flugge’s and Donnell’s theories. Numerical results of the steady-state response are presented for both theories to illustrate the effects of various relevant parameters on the dynamic deflection, and to provide a direct comparison between Donnell’s and Flugge’s theories for dynamic loadings. This paper establishes the range of shell geometry for which Donnell’s equations give satisfactory results in predicting the steady-state response. The dynamic behavior after the first resonant frequency and the effect of initial stress on the dynamic response are also pointed out.

FORCED VIBRATION OF TIP-MASSED CANTILEVER WITH NONLINEAR MAGNETIC INTERACTIONS

2014 ◽  
Vol 06 (02) ◽  
pp. 1450015 ◽  
Author(s):  
GUO-CE ZHANG ◽  
LI-QUN CHEN ◽  
HU DING
Keyword(s):  
Steady State ◽  
Forced Vibration ◽  
Viscoelastic Model ◽  
Magnetic Interactions ◽  
Stable Steady State ◽  
Steady State Response ◽  
Response Curves ◽  
Approximate Methods ◽  
State Response ◽  
Tip Mass

This paper predicts the nonlinear relative motion of a cantilever with a tip mass and magnets based on a distributed-parameter model. The Kelvin viscoelastic model is used to account for the damping in the cantilever. Under the harmonic base excitation, the governing equation is deduced via a coordinate transformation linked to its static equilibrium. To qualitatively validate those results captured from the approximate methods, the finite difference method and the multi-scale method are respectively employed to determine the natural frequency and the steady-state response of forced vibration. It is analytically demonstrated that those modes uninvolved in a certain resonance actually have no effect on the response amplitude of the stable steady-state motion. The effects of forcing amplitude, viscoelastic damping, and tip mass on the steady-state response are detailed via the amplitude–frequency response curves. For the first time, the current works theoretically illustrated the conversion from the hardening-type behavior to the softening-type versus the augmenting magnetic force, as well as the opposing effect of different tip masses on the first mode and the higher modes.

Parametric Investigation of the Steady-State Response of a Mechanical Seal With Two Flexibly Mounted Rotors

1999 ◽  
Vol 121 (1) ◽  
pp. 69-76 ◽  
Author(s):  
J. Wileman ◽  
I. Green
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Parametric Analysis ◽  
Fluid Film ◽  
Steady State Response ◽  
Mechanical Seal ◽  
Film Properties ◽  
Parametric Investigation ◽  
State Dynamic ◽  
State Response

A parametric analysis is performed to investigate the steady-state dynamic response of a mechanical seal with two flexibly mounted rotors. The effect of changing various inertia, support, and fluid film properties is examined. Short rotors are shown to benefit from gyroscopic aligning moments and to exhibit their maximum steady-state misalignment when one of the shaft speeds is zero. Long rotors experience misaligning gyroscopic moments, but if only one of the two rotors is long then aligning moments from the short rotor can be transmitted through the fluid and counteract the detrimental gyroscopic effect in the long rotor. In this case rotors which corotate are shown to have a higher steady-state misalignment than those which counterrotate because of the reduction of the hydrodynamic moments, thus leading to increased leakage and a higher probability of face contact.

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