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.

scholarly journals The Calculation of Velocity Constants for First- and Second-order Two-stage Reactions.

1950 ◽  
Vol 4 ◽  
pp. 1216-1220 ◽  
Author(s):  
Sigvard Wideqvist ◽  
Waclaw Szybalski ◽  
Niels Nielsen
Keyword(s):  
Second Order ◽  
Two Stage

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 Two-Stage Stochastic Programming Scheduling Model for Hybrid AC/DC Distribution Network Considering Converters and Energy Storage System

2019 ◽  
Vol 10 (1) ◽  
pp. 181
Author(s):  
Peng Kang ◽  
Wei Guo ◽  
Weigang Huang ◽  
Zejing Qiu ◽  
Meng Yu ◽  
...  
Keyword(s):  
Wind Power ◽  
Reactive Power ◽  
Distribution Network ◽  
Stochastic Scheduling ◽  
Second Order ◽  
Mixed Integer ◽  
Two Stage ◽  
Dc Distribution ◽  
Scheduling Model ◽  
Second Order Cone

The development of DC distribution network technology has provided a more efficient way for renewable energy accommodation and flexible power supply. A two-stage stochastic scheduling model for the hybrid AC/DC distribution network is proposed to study the active-reactive power coordinated optimal dispatch. In this framework, the wind power scenario set is utilized to deal with its uncertainty in real time, which is integrated into the decision-making process at the first stage. The charging/discharging power of ESSs and the transferred active/reactive power by VSCs can be adjusted when wind power uncertainty is observed at the second stage. Moreover, the proposed model is transformed into a mixed integer second-order cone programming optimization problem by linearization and second-order cone relaxation techniques to solve. Finally, case studies are implemented on the modified IEEE 33-node AC/DC distribution system and the simulation results demonstrate the effectiveness of the proposed stochastic scheduling model and solving method.

All possible second-order four-impedance two-stage Colpitts oscillators

2011 ◽  
Vol 5 (3) ◽  
pp. 196 ◽  
Author(s):  
A.S. Elwakil ◽  
M.A. Al-Radhawi
Keyword(s):  
Second Order ◽  
Two Stage ◽  
Order Four
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