Natural convection in a right-angle corner: higher-order analysis

1989 ◽  
Vol 32 (11) ◽  
pp. 2167-2177 ◽  
Author(s):  
D.B. Ingham ◽  
I. Pop
Keyword(s):  
Natural Convection ◽  
Higher Order ◽  
Order Analysis

A higher-order analysis of natural convection in a corner

1991 ◽  
Vol 26 (5) ◽  
pp. 289-298 ◽  
Author(s):  
D. B. Ingham ◽  
I. Pop
Keyword(s):  
Natural Convection ◽  
Higher Order ◽  
Order Analysis

Higher order analysis of random 1–2 brother trees

1980 ◽  
Vol 20 (3) ◽  
pp. 302-314 ◽  
Author(s):  
Th. Ottmann ◽  
W. Stucky
Keyword(s):  
Higher Order ◽  
Order Analysis

Scaphoid fractures: A higher order analysis of clinical tests and application of clinical reasoning strategies

2014 ◽  
Vol 19 (5) ◽  
pp. 372-378 ◽  
Author(s):  
Blayne Burrows ◽  
Paula Moreira ◽  
Chris Murphy ◽  
Jackie Sadi ◽  
David M. Walton
Keyword(s):  
Clinical Reasoning ◽  
Higher Order ◽  
Clinical Tests ◽  
Order Analysis ◽  
Reasoning Strategies ◽  
Scaphoid Fractures

scholarly journals Higher-Order Analysis of Correlation Maps in PIV Image Analysis

2005 ◽  
Vol 25 (Supplement2) ◽  
pp. 197-200
Author(s):  
Shigeru NISHIO ◽  
Kensuke KIRIMOTO
Keyword(s):  
Image Analysis ◽  
Higher Order ◽  
Order Analysis

Matrix Analysis of Second-Order Kinematic Constraints of Single-Loop Linkages in Screw Coordinates

2018 ◽  
Author(s):  
Liheng Wu ◽  
Andreas Müller ◽  
Jian S. Dai
Keyword(s):  
Quadratic Forms ◽  
Hessian Matrix ◽  
Coefficient Matrix ◽  
Higher Order ◽  
Second Order ◽  
Matrix Analysis ◽  
Kinematic Constraints ◽  
Single Loop ◽  
Order Analysis ◽  
Order Constraints

Higher order loop constraints play a key role in the local mobility, singularity and dynamic analysis of closed loop linkages. Recently, closed forms of higher order kinematic constraints have been achieved with nested Lie product in screw coordinates, and are purely algebraic operations. However, the complexity of expressions makes the higher order analysis complicated and highly reliant on computer implementations. In this paper matrix expressions of first and second-order kinematic constraints, i.e. involving the Jacobian and Hessian matrix, are formulated explicitly for single-loop linkages in terms of screw coordinates. For overconstrained linkages, which possess self-stress, the first- and second-order constraints are reduced to a set of quadratic forms. The test for the order of mobility relies on solutions of higher order constraints. Second-order mobility analysis boils down to testing the property of coefficient matrix of the quadratic forms (i.e. the Hessian) rather than to solving them. Thus, the second-order analysis is simplified.

Sign in / Sign up

Export Citation Format

Share Document