scholarly journals A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics

2008 ◽  
pp. 143-158 ◽  
Author(s):  
O. Laurent Jay ◽  
Dan Negrut
Keyword(s):  
Second Order ◽  
Constrained Systems ◽  
Order Extension

A Two-Stage Extension of the Generalized-α Method for Constrained Systems in Mechanics

2020 ◽  
Author(s):  
Laurent O. Jay ◽  
Brice Ch. Merwine ◽  
Hiroyuki Sugiyama ◽  
Hiroki Yamashita
Keyword(s):  
Mass Matrix ◽  
Efficient Implementation ◽  
Second Order ◽  
Constrained Systems ◽  
Two Stage ◽  
Holonomic Constraints ◽  
Velocity Level ◽  
Order Extension

Abstract We present a new two-stage second order extension of the generalized-α method of Chung and Hulbert for systems in mechanics having nonconstant mass matrix and holonomic constraints. Both the position and velocity level constraints are preserved. The extension lends itself to efficient implementation.

Application of the Godunov method and its second-order extension to cascade flow modeling

AIAA Journal ◽  
1984 ◽  
Vol 22 (11) ◽  
pp. 1609-1615 ◽  
Author(s):  
Shmuel Eidelman ◽  
Phillip Colella ◽  
Raymond P. Shreeve
Keyword(s):  
Second Order ◽  
Godunov Method ◽  
Flow Modeling ◽  
Cascade Flow ◽  
Order Extension

QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION

2005 ◽  
Vol 02 (03) ◽  
pp. 485-504 ◽  
Author(s):  
EQAB M. RABEI ◽  
EYAD H. HASSAN ◽  
HUMAM B. GHASSIB ◽  
S. MUSLIH
Keyword(s):  
Wave Function ◽  
General Theory ◽  
Semiclassical Limit ◽  
Second Order ◽  
Constrained Systems ◽  
Wkb Approximation ◽  
Lagrangian Systems

A general theory is given for quantizing both constrained and unconstrained systems with second-order Lagrangian, using the WKB approximation. In constrained systems, the constraints become conditions on the wave function to be satisfied in the semiclassical limit. This is illustrated with two examples.

scholarly journals Three improvements to the HPSG model theory

2021 ◽  
Author(s):  
Adam Przepiórkowski
Keyword(s):  
Model Theory ◽  
Second Order ◽  
The Third ◽  
Order Extension

The aim of this paper is to propose three improvements to the HPSG model theory. The first is a solution to certain formal problems identified in Richter 2007. These problems are solved if HPSG models are rooted models of utterances and not exhaustive models of languages, as currently assumed. The proposed solution is compatible with all existing views on the nature of objects inhabiting models. The second improvement is a solution to “Höhle’s Problem”, i.e., the problem of massive spurious ambiguities in models of utterances. The third is a formalisation of Yatabe's (2004) analysis of the coordination of unlike categories, one that requires a second-order extension of the language for stating HPSG grammars.

Generation of signals with specified second-order properties for constrained systems

2015 ◽  
Vol 30 (3) ◽  
pp. 456-472 ◽  
Author(s):  
Christian A. Larsson ◽  
Per Hägg ◽  
Håkan Hjalmarsson
Keyword(s):  
Second Order ◽  
Constrained Systems
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