Application of the modified method of multiple scales to the bending problems for circular thin plate at very large deflection and the asymptotics of solutions (I)

1998 ◽  
Vol 19 (10) ◽  
pp. 937-950 ◽  
Author(s):  
Bissanga Gabriel ◽  
Jiang Furu
Keyword(s):  
Thin Plate ◽  
Large Deflection ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Asymptotics Of Solutions ◽  
Modified Method ◽  
Bending Problems ◽  
Circular Thin Plate

Air pressure measurement of circular thin plate using optical fiber multimode interferometer

Measurement ◽  
2021 ◽  
pp. 109784
Author(s):  
Yufang Bai ◽  
Jie Zeng ◽  
Jiwei Huang ◽  
Zhenfeng Yan ◽  
Yaxing Wu ◽  
...  
Keyword(s):  
Optical Fiber ◽  
Thin Plate ◽  
Pressure Measurement ◽  
Air Pressure ◽  
Circular Thin Plate

Research on the post-buckling strength of screw composite thin plate with large deflection

Structures ◽  
2021 ◽  
Vol 32 ◽  
pp. 204-215
Author(s):  
Lei Zhang ◽  
Tianhua Zhou ◽  
Yanchun Li ◽  
Liurui Sang
Keyword(s):  
Thin Plate ◽  
Large Deflection ◽  
Buckling Strength ◽  
Post Buckling

On the modulation of water waves on shear flows

1976 ◽  
Vol 347 (1651) ◽  
pp. 537-546 ◽  
Keyword(s):  
Water Waves ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Vries Equation ◽  
Harmonic Wave ◽  
Short Wave ◽  
Long Wave ◽  
Stokes Waves ◽  
The Stability ◽  
Wave Limit

The method of multiple scales is used to examine the slow modulation of a harmonic wave moving over the surface of a two dimensional channel. The flow is assumed inviscid and incompressible, but the basic flow takes the form of an arbitrary shear. The appropriate nonlinear Schrödinger equation is derived with coefficients that depend, in a complicated way, on the shear. It is shown that this equation agrees with previous work for the case of no shear; it also agrees in the long wave limit with the appropriate short wave limit of the Korteweg-de Vries equation, the shear being arbitrary. Finally, it is remarked that the stability of Stokes waves over any shear can be examined by using the results derived here.

scholarly journals Dynamic analysis of a parametrically excited golden Muga silk embedded pneumatic artificial muscle

2018 ◽  
Vol 211 ◽  
pp. 02008 ◽  
Author(s):  
Bhaben Kalita ◽  
S. K. Dwivedy
Keyword(s):  
Dynamic Analysis ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Quadratic Function ◽  
Artificial Muscle ◽  
Equation Of Motion ◽  
Time Response ◽  
Phase Portraits ◽  
Pneumatic Artificial Muscle ◽  
Pneumatic Muscle

In this work a novel pneumatic artificial muscle is fabricated using golden muga silk and silicon rubber. It is assumed that the muscle force is a quadratic function of pressure. Here a single degree of freedom system is considered where a mass is supported by a spring-damper-and pneumatically actuated muscle. While the spring-mass damper is a passive system, the addition of pneumatic muscle makes the system active. The dynamic analysis of this system is carried out by developing the equation of motion which contains multi-frequency excitations with both forced and parametric excitations. Using method of multiple scales the reduced equations are developed for simple and principal parametric resonance conditions. The time response obtained using method of multiple scales have been compared with those obtained by solving the original equation of motion numerically. Using both time response and phase portraits, variation of few systems parameters have been carried out. This work may find application in developing wearable device and robotic device for rehabilitation purpose.

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