A New Displacement Form for the Nonlinear Equations of Motion of Shells of Revolution

In the theory of shells of revolution undergoing torsionless, axisymmetric motion, an extensional and a bending hoop strain are introduced that are linear in the displacements, regardless of the magnitudes of the strains and the meridional rotation. The resulting equations of motion and boundary conditions are derived and some common conservative surface loads are listed along with their potentials. The governing equations appear to be the simplest possible in terms of displacements.

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Effect of Out-of-Roundness on the Performance of a Diesel Engine Connecting-Rod Bearing

Journal of Tribology ◽

10.1115/1.2921671 ◽

1993 ◽

Vol 115 (3) ◽

pp. 538-543 ◽

Cited By ~ 20

Author(s):

D. Vijayaraghavan ◽

D. E. Brewe ◽

T. G. Keith

Keyword(s):

Diesel Engine ◽

Boundary Conditions ◽

Nonlinear Equations ◽

Dynamic Performance ◽

Equations Of Motion ◽

Load Cycle ◽

Performance Parameters ◽

Connecting Rod ◽

Nonlinear Equations Of Motion

In this paper, the dynamic performance of the Ruston and Hornsby VEB diesel engine connecting-rod bearing with circular and out-of-round profiles is analyzed. The effect of cavitation is considered by using a cavitation algorithm, which mimics JFO boundary conditions. The effect of mass inertia is accounted for by solving coupled nonlinear equations of motion. The journal profiles considered are circular, elliptical, semi elliptical and three lobe epicycloid. The predicted journal trajectory and other performance parameters for one complete load cycle are presented for all of the out-of-round profiles and are also compared with the predictions for the circular bearing.

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THE NONLINEAR EQUATIONS OF MOTION OF SHELLS OF REVOLUTION : NONLINEAR VIBRATIONS OF SHELLS OF REVOLUTION PART 1.

Transactions of the Architectural Institute of Japan ◽

10.3130/aijsaxx.281.0_21 ◽

1979 ◽

Vol 281 (0) ◽

pp. 21-30

Author(s):

YOUICHI MINAKAWA

Keyword(s):

Nonlinear Equations ◽

Nonlinear Vibrations ◽

Equations Of Motion ◽

Shells Of Revolution ◽

Nonlinear Equations Of Motion

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Nonlinear Equations of Motion in the Simulation of the Raptor 50 V2 Remote Controlled Helicopter With Optimal Controller Design

AIAA Modeling and Simulation Technologies Conference and Exhibit ◽

10.2514/6.2005-6421 ◽

2005 ◽

Cited By ~ 1

Author(s):

Mythri Pinnamaneni ◽

Michael Frye ◽

Chunjiang Qian ◽

Richard Colgren

Keyword(s):

Nonlinear Equations ◽

Controller Design ◽

Equations Of Motion ◽

Optimal Controller ◽

Nonlinear Equations Of Motion

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Simulation of Engine Vibration on Nonlinear Hydraulic Engine Mounts

Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C ◽

10.1115/detc2005-85684 ◽

2005 ◽

Cited By ~ 1

Author(s):

A. R. Ohadi ◽

G. Maghsoodi

Keyword(s):

Equations Of Motion ◽

Low Frequency ◽

Governing Equations ◽

Engine Mounts ◽

Engine Vibration ◽

Engine Mount ◽

Rotational Motions ◽

The Time Domain ◽

Nonlinear Equations Of Motion ◽

Four Cylinders

In this paper, vibration behavior of engine on nonlinear hydraulic engine mount including inertia track and decoupler is studied. In this regard, after introducing the nonlinear factors of this mount (i.e. inertia and decoupler resistances in turbulent region), the vibration governing equations of engine on one hydraulic engine mount are solved and the effect of nonlinearity is investigated. In order to have a comparison between rubber and hydraulic engine mounts, a 6 degree of freedom four cylinders V-shaped engine under inertia and balancing masses forces and torques is considered. By solving the time domain nonlinear equations of motion of engine on three inclined mounts, translational and rotational motions of engines body are obtained for different engine speeds. Transmitted base forces are also determined for both types of engine mount. Comparison of rubber and hydraulic mounts indicates the efficiency of hydraulic one in low frequency region.

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Vibration Characteristics of Piezoelectric Microbeams Based on the Modified Couple Stress Theory

Shock and Vibration ◽

10.1155/2014/598292 ◽

2014 ◽

Vol 2014 ◽

pp. 1-12 ◽

Cited By ~ 7

Author(s):

R. Ansari ◽

M. A. Ashrafi ◽

S. Hosseinzadeh

Keyword(s):

Boundary Conditions ◽

Couple Stress ◽

Natural Frequencies ◽

Couple Stress Theory ◽

Equations Of Motion ◽

Modified Couple Stress Theory ◽

Beam Model ◽

Governing Equations ◽

Stress Theory ◽

Modified Couple Stress

The vibration behavior of piezoelectric microbeams is studied on the basis of the modified couple stress theory. The governing equations of motion and boundary conditions for the Euler-Bernoulli and Timoshenko beam models are derived using Hamilton’s principle. By the exact solution of the governing equations, an expression for natural frequencies of microbeams with simply supported boundary conditions is obtained. Numerical results for both beam models are presented and the effects of piezoelectricity and length scale parameter are illustrated. It is found that the influences of piezoelectricity and size effects are more prominent when the length of microbeams decreases. A comparison between two beam models also reveals that the Euler-Bernoulli beam model tends to overestimate the natural frequencies of microbeams as compared to its Timoshenko counterpart.

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