Stability analysis of time domain FEM by applying Routh-Hurwitz Stability Criterion

2015 ◽  
Author(s):  
Xia Wu
Keyword(s):  
Stability Analysis ◽  
Time Domain ◽  
Stability Criterion ◽  
Hurwitz Stability

Stability Analysis of a Load-Sensing Hydraulic System

1988 ◽  
Vol 202 (2) ◽  
pp. 79-88 ◽  
Author(s):  
S D Kim ◽  
H S Cho ◽  
C O Lee
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Stability Criterion ◽  
Hydraulic System ◽  
Operating Conditions ◽  
Conventional System ◽  
System Parameters ◽  
Hurwitz Stability ◽  
Load Sensing ◽  
The Stability

The load-sensing hydraulic system is an energy saving hydraulic system which improves the efficiency of transmitting power from the pump to the load. However, its stability characteristics deteriorate critically due to the addition of the load-sensing mechanism, compared with those of the conventional system. In this paper, a non-linear mathematical model of the load-sensing hydraulic system is formulated, taking into consideration the dynamics of the load-sensing pump. Based upon linearization of this model for various operating conditions, the stability analysis has been made using the Routh-Hurwitz stability criterion. The results of the theoretical stability analysis were assured through experiments. Both results show that stability is critical to the choice of system parameters such as the setting pressure of the pump compensator and the load inertia.

Gain-phase margins-based delay-dependent stability analysis of pitch control system of large wind turbines

2019 ◽  
Vol 41 (13) ◽  
pp. 3626-3636 ◽  
Author(s):  
Omer Turksoy ◽  
Saffet Ayasun ◽  
Yakup Hames ◽  
Sahin Sonmez
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Wind Turbines ◽  
Time Domain ◽  
Dynamic Performance ◽  
Pitch Control ◽  
Wide Range ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Large Wind

This paper investigates the effect of gain and phase margins (GPMs) on the delay-dependent stability analysis of the pitch control system (PCS) of large wind turbines (LWTs) with time delays. A frequency-domain based exact method that takes into account both GPMs is utilized to determine stability delay margins in terms of system and controller parameters. A gain-phase margin tester (GPMT) is introduced to the PCS to take into GPMs in delay margin computation. For a wide range of proportional–integral controller gains, time delay values at which the PCS is both stable and have desired stability margin measured by GPMs are computed. The accuracy of stability delay margins is verified by an independent algorithm, Quasi-Polynomial Mapping Based Rootfinder (QPmR) and time-domain simulations. The time-domain simulation studies also indicate that delay margins must be determined considering GPMs to have a better dynamic performance in term of fast damping of oscillations, less overshoot and settling time.

Walking Stability Analysis of Multi-Legged Crablike Robot over Slope

2013 ◽  
Vol 572 ◽  
pp. 636-639
Author(s):  
Xi Chen ◽  
Gang Wang
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Stability Criterion ◽  
Stability Margin ◽  
Static Stability ◽  
Matlab Simulation ◽  
And Performance ◽  
The Stability ◽  
The Mathematical Model ◽  
The Relationship

This paper deals with the walking stability analysis of a multi-legged crablike robot over slope using normalized energy stability margin (NESM) method in order to develop a common stabilization description method and achieve robust locomotion for the robot over rough terrains. The robot is simplified with its static stability being described by NESM. The mathematical model of static stability margin is built so as to carry out the simulation of walking stability over slope for the crablike robot that walks in double tetrapod gait. As a consequence, the relationship between stability margin and the height of the robots centroid, as well as its inclination relative to the ground is calculated by the stability criterion. The success and performance of the stability criterion proposed is verified through MATLAB simulation and real-world experiments using multi-legged crablike robot.

Time-Domain Flooding Simulation of a Damaged Warship

2020 ◽  
Vol 54 (2) ◽  
pp. 69-78
Author(s):  
Li-fen Hu ◽  
Hao Wu ◽  
Qingtao Gong ◽  
Xiangyang Wang ◽  
Wenbin Lv
Keyword(s):  
Experimental Data ◽  
Time Domain ◽  
Stability Criterion ◽  
Vof Method ◽  
Navier Stokes ◽  
Ship Motions ◽  
Fluid Interface ◽  
Complex Dynamic ◽  
Turbulence Effect ◽  
Mesh Update

AbstractUnderstanding of the complex dynamic behavior of damaged ships and floodwater remains limited for ship designers and safety authorities. In this work, a Navier-Stokes (NS) solver that combines the volume of fluid (VOF) method with overset mesh techniques is developed to simulate the flooding process of a damaged ship. The VOF method captures the fluid interface, and the turbulence effect on flows is considered with the k-ω model. The overset mesh techniques are employed to handle the mesh update following transient ship motions. Then, the results of a damaged barge with dynamic and overset mesh are compared with the experimental data. On the basis of this validation, the solver is applied to the flooding problems of a damaged warship. This research is intended to be a useful step toward the establishment of a stability criterion for damaged ships in the future.

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