scholarly journals Dynamic Reanalysis of Structures Based on Differential Geometric Method (1st Report)

1986 ◽  
Vol 52 (8) ◽  
pp. 1399-1405
Author(s):  
Toyoshiro INAMURA ◽  
Mitsuru OHMORI ◽  
Mitsunori NAKAMURA ◽  
Takeshi YASUI
Keyword(s):  
Geometric Method ◽  
Dynamic Reanalysis ◽  
Reanalysis Of Structures

Efficient Dynamic Reanalysis of Structures

2007 ◽  
Vol 133 (3) ◽  
pp. 440-448 ◽  
Author(s):  
Uri Kirsch ◽  
Michael Bogomolni ◽  
Izhak Sheinman
Keyword(s):  
Dynamic Reanalysis ◽  
Reanalysis Of Structures

EIGENVALUE REANALYSIS OF STRUCTURES USING PERTURBATIONS AND PADÉ APPROXIMATION

2001 ◽  
Vol 15 (2) ◽  
pp. 257-263 ◽  
Author(s):  
XIAOWEI YANG ◽  
SUHUAN CHEN ◽  
BAISHENG WU
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Reanalysis Of Structures

HETEROCLINIC ORBITS FOR MONOTONE TWIST MAPS THROUGH A VARIATIONAL PRINCIPLE

2001 ◽  
Vol 11 (09) ◽  
pp. 2451-2461
Author(s):  
TIFEI QIAN
Keyword(s):  
Variational Principle ◽  
Variational Method ◽  
Fixed Points ◽  
Heteroclinic Orbit ◽  
Geometric Method ◽  
Heteroclinic Orbits ◽  
Constructive Approach ◽  
Connecting Orbits ◽  
Relative Ease ◽  
Twist Maps

The variational method has shown many advantages over the geometric method in proving the existence of connecting orbits since it requires much weaker hyperbolicity and less smoothness. Many results known to be difficult to obtain by the geometric method can now be obtained by a variational principle with relative ease. In particular, a variational principle provides a constructive approach to the existence of heteroclinic orbits. In this paper a variational principle is used to construct a heteroclinic orbit between an adjacent minimal pair of fixed points for monotone twist maps on (ℝ/ℤ) × ℝ. Application of our results to a standard map is also given.

Retrieval of Airborne Lidar Misalignments Based on the Stepwise Geometric Method

Survey Review ◽  
2010 ◽  
Vol 42 (316) ◽  
pp. 176-192 ◽  
Author(s):  
Xiaohong Zhang ◽  
Rene Forsberg
Keyword(s):  
Airborne Lidar ◽  
Geometric Method

A geometric method based on space arc for pose-configuration simultaneous planning of segmented hyper-redundant manipulators

2021 ◽  
Author(s):  
ZhongHua Hu ◽  
Han Yuan ◽  
WenFu Xu ◽  
TaiWei Yang ◽  
TianLiang Liu ◽  
...  
Keyword(s):  
Geometric Method ◽  
Redundant Manipulators

Generation of filament winding patterns for elbows with various cross-sections

2021 ◽  
pp. 002199832110492
Author(s):  
Ruidong Man ◽  
Jianhui Fu ◽  
Songkil Kim ◽  
Yoongho Jung
Keyword(s):  
Cross Sections ◽  
Filament Winding ◽  
Geometric Method ◽  
Vertical Edge ◽  
Pipe Fitting ◽  
High Quality ◽  
Quadrilateral Elements ◽  
Mathematical Expressions ◽  
Fitting In ◽  
Winding Angle

As a connecting component of tubes, the elbow is indispensable to pipe-fitting in composite products. Previous studies have addressed methods for generating winding paths based on parametric equations on the elbow. However, these methods are unsuitable for elbows whose surfaces are difficult to describe using mathematical expressions. In this study, a geometric method was proposed for generating winding patterns for various elbow types. With this method, the mandrel surface is first converted into uniform and high-quality quadrilateral elements; an algorithm is then provided for calculating the minimum winding angle for bridging-free. Next, an angle for non-bridging was defined as the design-winding angle to generate the uniform and slippage-free basic winding paths on the quadrilateral elements in non-geodesic directions. Finally, after a series of uniform points were calculated on the selected vertical edge according to the elbow type, the pattern paths were generated with the uniform points and basic paths. The proposed method is advantageously not limited to the elbow’s shape.

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