scholarly journals Do realistic contexts and graphical representations always have a beneficial impact on students’ performance? Negative evidence from a study on modelling non-linear geometry problems

2003 ◽  
Vol 13 (4) ◽  
pp. 441-463 ◽  
Author(s):  
D. De Bock ◽  
L. Verschaffel ◽  
D. Janssens ◽  
W. Van Dooren ◽  
K. Claes
Keyword(s):  
Graphical Representations ◽  
Negative Evidence ◽  
Non Linear ◽  
Beneficial Impact ◽  
Linear Geometry

scholarly journals The non-linear geometry of Banach spaces after Nigel Kalton

2014 ◽  
Vol 44 (5) ◽  
pp. 1529-1583 ◽  
Author(s):  
G. Godefroy ◽  
G. Lancien ◽  
V. Zizler
Keyword(s):  
Banach Spaces ◽  
Non Linear ◽  
Linear Geometry

Quasi-Static Assessment of Response to Slamming Impact on Free Fall Lifeboats

2015 ◽  
Author(s):  
Svein Erling Heggelund ◽  
Zhiyuan Li ◽  
Beom-Seon Jang ◽  
Jonas W. Ringsberg
Keyword(s):  
Beam Theory ◽  
Free Fall ◽  
Calculation Model ◽  
Theory Approach ◽  
Design Assessment ◽  
Static Assessment ◽  
Non Linear ◽  
The Impact ◽  
Stiffened Steel ◽  
Linear Geometry

Design against impact loads (slamming) can be challenging and time consuming and can involve complex calculations. Application of simplified, quasi-static calculation approaches will make the design process much easier. In this paper, such simplified methods are discussed using free fall lifeboats as a case. Results from non-linear FE-analysis show that the response is non-linear due to large deformations. The impact pressure is then mainly carried by membrane stress and the dynamic response is small. A non-linear beam theory approach for hand calculation is established. As the non-linear calculation model is the most realistic, it is recommended that this is used in an initial design assessment. Although the results are on the conservative side, simple hand calculations including non-linear geometry can be used to predict the maximum strain. Linear methods are also investigated. However, these methods should be used with more rigid structures such as stiffened steel and aluminium panels.

Evaluation of Gun Support Structure Using Equivalent Dynamic Approach in Non Linear FEA

2013 ◽  
Vol 376 ◽  
pp. 331-335
Author(s):  
Sunil Shukla ◽  
H. S. Deshmukh ◽  
Patil Vinaay ◽  
B.A. Thite A.
Keyword(s):  
Standard Operating Procedure ◽  
Dynamic Loads ◽  
Robot Arm ◽  
Dynamic Approach ◽  
Contact Algorithm ◽  
Standard Operating ◽  
Non Linear ◽  
Single Structure ◽  
Cost Efficient ◽  
Linear Geometry

Robot Gun structure is an efficient way in which multiple welds can be done simultaneously. However mounting several weld guns on a single structure induces a variety of dynamic loads, especially during movement of the robot arm as it maneuvers to reach the weld locations.The primary idea employed in this paper, is to model those dynamic loads as equivalent G force loads in FEA. This approach will be on the conservative side, and will be saving time and subsequently cost efficient. The approach of the paper is towards creating a standard operating procedure (SOP) when it comes to analysis of such structures, with emphasis on deploying various technical aspects of FEA such as Non Linear Geometry, Multipoint Constraint Contact Algorithm, Multizone meshing .

scholarly journals On the Equation ax—xb = c

1968 ◽  
Vol 8 (2) ◽  
pp. 383-384 ◽  
Author(s):  
R. F. Berghout
Keyword(s):  
Division Ring ◽  
Tangent Plane ◽  
The Other ◽  
Three Dimensions ◽  
Memorial Lecture ◽  
Line Pair ◽  
Commutative Case ◽  
Non Linear ◽  
Point Of Intersection ◽  
Linear Geometry

Beniamino Segre, in his memorial lecture of 1958 [5], [6], inaugurated the study of non-linear geometry in three dimensions over a division ring. In his treatment of sections of quadrics by planes, he is naturally led to consider conics and the problem of tangency. Now in the commutative case the locus of intersection of a quadric and a plane containing a generator is the line-pair consisting of this generator and one from the other family. Such a plane is then the tangent plane of the point of intersection of the two generators. Segre extends this notion to the non-commutative case, where the locus of intersection is not always a line-pair. He joins up the remaining points of intersection in pairs, and calls the points where the lines so formed cut the base generator, the ‘points of contact’ of the plane (π) and the quadric (Q). A line in π is called a ‘tangent’ if it passes through a point of contact, but does not contain any of the points of intersection of Q and π.

scholarly journals Fuzzy Version of Secant Method to Solve Fuzzy Non-Linear Equations

2016 ◽  
Vol 35 ◽  
pp. 127-134
Author(s):  
Goutam Kumar Saha ◽  
Shapla Shirin
Keyword(s):  
Linear Equation ◽  
Linear Equations ◽  
Approximate Solutions ◽  
Secant Method ◽  
Graphical Representations ◽  
Non Linear Equation ◽  
Non Linear ◽  
Optimum Solution ◽  
Non Linear Equations

In this paper fuzzy version of secant method has been introduced to obtain approximate solutions of a fuzzy non-linear equation. Graphical representations of the approximate solutions have also been shown. The idea of converging to the root to the desired degree of accuracy, which is the optimum solution, of a fuzzy non-linear equation has been focused.GANIT J. Bangladesh Math. Soc.Vol. 35 (2015) 127-134

scholarly journals MODIFIED QUADRATURE ITERATED METHODS OF BOOLE RULE AND WEDDLE RULE FOR SOLVING NON-LINEAR EQUATIONS

2021 ◽  
Vol 16 (2) ◽  
Author(s):  
Umair Khalid Qureshi
Keyword(s):  
Applied Sciences ◽  
Linear Equations ◽  
Numerical Results ◽  
Graphical Representations ◽  
Quadrature Method ◽  
Non Linear ◽  
Newton Raphson ◽  
Steffensen Method ◽  
Raphson Method ◽  
Non Linear Equations

This article is presented a modified quadrature iterated methods of Boole rule and Weddle rule for solving non-linear equations which arise in applied sciences and engineering. The proposed methods are converged quadratically and the idea of developed research comes from Boole rule and Weddle rule. Few examples are demonstrated to justify the proposed method as the assessment of the newton raphson method, steffensen method, trapezoidal method, and quadrature method. Numerical results and graphical representations of modified quadrature iterated methods are examined with C++ and EXCEL. The observation from numerical results that the proposed modified quadrature iterated methods are performance good and well executed as the comparison of existing methods for solving non-linear equations.

scholarly journals An Algorithmic Technique for Solving Non-Linear Programming and Quadratic Programming Problems

2016 ◽  
Vol 35 ◽  
pp. 41-55
Author(s):  
HK Das ◽  
M Babul Hasan
Keyword(s):  
Linear Programming ◽  
Quadratic Programming ◽  
Graphical Representations ◽  
Computer Technique ◽  
Numerical Examples ◽  
Non Linear Programming ◽  
Non Linear ◽  
Quadratic Programming Problems ◽  
Algorithmic Technique ◽  
Combined Algorithm

In this paper, we improve a combined algorithm and develop a uniform computer technique for solving constrained, unconstrained Non Linear Programming (NLP) and Quadratic Programming (QP) problems into a single framework. For this, we first review the basic algorithms of convex and concave QP as well as general NLP problems. We also focus on the development of the graphical representations. We use MATHEMATICA 9.0 to develop this algorithmic technique. We present a number of numerical examples to demonstrate our method.GANIT J. Bangladesh Math. Soc.Vol. 35 (2015) 41-55

Sign in / Sign up

Export Citation Format

Share Document