Non-linear forced vibration of a non-prismatic beam due to combined flexure and stretching

1971 ◽  
Vol 15 (4) ◽  
pp. 447-454 ◽  
Author(s):  
N. Basdekas ◽  
M. Chi
Keyword(s):  
Forced Vibration ◽  
Prismatic Beam ◽  
Non Linear

Study of the dynamics of rotor-spun composite yarn spinning process in forced vibration

2011 ◽  
Vol 82 (3) ◽  
pp. 255-258 ◽  
Author(s):  
Naeem Faraz ◽  
Yasir Khan
Keyword(s):  
Forced Vibration ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Composite Yarn ◽  
Force Vibration ◽  
Non Linear ◽  
Spinning Process ◽  
Linear Force

The non-linear force vibration oscillator is established for the rotor-spun composite yarn spinning process. The variational iteration method is used to calculate the approximate oscillating periods in the vertical and horizontal directions. Thecondition for resonance is obtained.

On the Forced Vibration with Non-linear Restoring Force by the Unbarmonic Force

1948 ◽  
Vol 51 (360) ◽  
pp. 347-348
Author(s):  
Toshio NISHIHARA ◽  
Yoshikazu SAWARAGI ◽  
Hirokazu NAKAMURA ◽  
Sadami NISHIDA
Keyword(s):  
Forced Vibration ◽  
Restoring Force ◽  
Non Linear

scholarly journals Non-Linear Forced Vibration of Fully Clamped FGM Skew Plates using Homogenization Technique

2019 ◽  
Vol 286 ◽  
pp. 03002
Author(s):  
H. Moulay Abdelali ◽  
R. Benamar
Keyword(s):  
Forced Vibration ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Skew Angle ◽  
Linear Mode ◽  
Homogenization Technique ◽  
Skew Plate ◽  
Non Linear ◽  
Excitation Force ◽  
The Right

The present work concerns the geometrically non-linear forced vibration of fully clamped functionally graded skew plates (FGSP). The theoretical model based on Hamilton’s principle and spectral analysis previously applied to obtain the non-linear mode shapes of thin straight structures is used. A homogenization technique is developed to reduce the FGSP problem under consideration to that of an equivalent isotropic homogeneous skew plate. Results are given for the linear and non-linear fundamental frequency of fully clamped FGSP, considering different parameters, such as the skew angle, the excitation force level. The results show a non linearity of the hardening type with a shift to the right of the bent non linear frequency response function, in the neighbourhood of the fundamental mode.

A Dynamic Model for Non-Linear Radial Forced Vibration of Unilateral Boring Tools and its Application to Improving the Accuracy of Boring Process

2012 ◽  
Vol 452-453 ◽  
pp. 124-128
Author(s):  
Peng Li ◽  
Li Zhi Gu
Keyword(s):  
Differential Equation ◽  
Dynamic Model ◽  
Forced Vibration ◽  
Order Differential Equation ◽  
Second Order ◽  
Factors Affecting ◽  
Second Order Differential Equation ◽  
Shock Absorbers ◽  
Non Linear ◽  
Elastic Shock

By analyzing factors affecting the accuracy of boring process on the precision boring machine, the article aims at putting forward a method of improving the accuracy of boring process by means of installing polymer elastic shock absorbers on unilateral boring tools. In addition, the situation of non-linear radial forced vibration is formulated by a dynamic model of second-order differential equation. Based on the model, vibration prevention principles of unilateral boring tools have been discussed and systematic parameters have been optimized for enhancement of the boring process accuracy.

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