Numerical Analysis of Dynamic Stability of Elastic Truss Structures

1998 ◽  
Vol 13 (2) ◽  
pp. 75-81 ◽  
Author(s):  
Qi-Lin Zhang ◽  
Udo Peil
Keyword(s):  
Stability Analysis ◽  
Numerical Analysis ◽  
Dynamic Stability ◽  
Time Domain ◽  
Truss Structures ◽  
Equilibrium Equations ◽  
Numerical Examples ◽  
Motion Trajectories ◽  
Dynamic Excitations ◽  
Energy Increment

In this paper the concept of energy increment map is presented for stability judgement of elastic truss structures under arbitrary dynamic excitations. The modified member theory is adopted to establish the equilibrium equations of the structures. The motion trajectories of structures are numerically solved in time domain and the corresponding stability states are studied according to the energy increment map. Numerical examples show that the method of this paper can lead to satisfactory results in dynamic stability analysis of elastic truss structures.

Dynamic Stability Analysis of Backhoe Dredger Based on Time Domain Method

2021 ◽  
Author(s):  
Yihua Chen ◽  
Xinquan Chen ◽  
Qi Yang ◽  
Yiping Ouyang
Keyword(s):  
Stability Analysis ◽  
Dynamic Stability ◽  
Time Domain ◽  
Time Domain Method ◽  
Domain Method

Dynamic Stability Analysis of Truss Structures under Nonconservative Constant and Pulsating Follower Forces

2008 ◽  
pp. 741-741
Author(s):  
Jiann-Tsair Chang ◽  
I-Dan. Huang ◽  
Wei-Ming Hou ◽  
Ping-Kun Chang
Keyword(s):  
Stability Analysis ◽  
Dynamic Stability ◽  
Truss Structures ◽  
Follower Forces

scholarly journals Implicit Subspace Iteration to Improve the Stability Analysis in Grinding Processes

2020 ◽  
Vol 10 (22) ◽  
pp. 8203 ◽  
Author(s):  
Jorge Alvarez ◽  
Mikel Zatarain ◽  
David Barrenetxea ◽  
Jose Ignacio Marquinez ◽  
Borja Izquierdo
Keyword(s):  
Stability Analysis ◽  
Dynamic Stability ◽  
Time Domain ◽  
Grinding Processes ◽  
Subspace Iteration ◽  
Efficient Calculation ◽  
Chatter Vibrations ◽  
Stability Maps ◽  
Iteration Methods ◽  
The Stability

An alternative method is devised for calculating dynamic stability maps in cylindrical and centerless infeed grinding processes. The method is based on the application of the Floquet theorem by repeated time integrations. Without the need of building the transition matrix, this is the most efficient calculation in terms of computation effort compared to previously presented time-domain stability analysis methods (semi-discretization or time-domain simulations). In the analyzed cases, subspace iteration has been up to 130 times faster. One of the advantages of these time-domain methods to the detriment of frequency domain ones is that they can analyze the stability of regenerative chatter with the application of variable workpiece speed, a well-known technique to avoid chatter vibrations in grinding processes so the optimal combination of amplitude and frequency can be selected. Subspace iteration methods also deal with this analysis, providing an efficient solution between 27 and 47 times faster than the abovementioned methods. Validation of this method has been carried out by comparing its accuracy with previous published methods such as semi-discretization, frequency and time-domain simulations, obtaining good correlation in the results of the dynamic stability maps and the instability reduction ratio maps due to the application of variable speed.

Efficient Numerical Analysis for Dynamic Stability of Pipes Conveying Fluids

1989 ◽  
Vol 111 (3) ◽  
pp. 300-303 ◽  
Author(s):  
X. Q. Dang ◽  
W. M. Liu ◽  
T. S. Zheng
Keyword(s):  
Stability Analysis ◽  
Numerical Analysis ◽  
Dynamic Stability ◽  
Pulsatile Flow ◽  
Instability Region ◽  
Numerical Results ◽  
Numerical Analyses ◽  
One Dimensional ◽  
Search Approach

Based on the Floquet-Liapunov theory, this paper proposes an efficient one-dimensional search approach for stability analysis of pipes conveying pulsatile flow. The instability boundaries of a clamped-clamped pipe analyzed in this paper. The numerical results are satisfactory compared with existing results. Moreover, an instability region which failed to appear in ordinary numerical analyses is detected by our computations.

Dynamic Stability Analysis of Viscoelastic Beam under the Follower Forces

2011 ◽  
Vol 413 ◽  
pp. 283-288
Author(s):  
Rui Hua Zhuo ◽  
Shu Wang Yan ◽  
Lei Yu Zhang
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Stability Analysis ◽  
Power Series ◽  
Dynamic Stability ◽  
Vibration Frequency ◽  
Time Domain ◽  
Differential Operators ◽  
Viscoelastic Beam ◽  
Follower Forces

The unification differential equation of buckling and motion of viscoelastic beam subjected to the uniformly distributed follower forces in time domain was established by differential operators including extension viscosity, shearing viscosity and moment of inertia. According to the unification differential equation, dynamic stability of three-parameter model of viscoelastic beams subjected to follower forces with clamped-free supported boundary condition was firstly analyzed by power series. The relations of the follower force versus vibration frequency and decay coefficient were obtained, so was the effect of viscous coefficient on the critical load of beams.

Numerical analysis of dynamic stability of a reentry capsule at transonic speeds

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 646-653 ◽  
Author(s):  
Susumu Teramoto ◽  
Kouju Hiraki ◽  
Kozo Fujii
Keyword(s):  
Numerical Analysis ◽  
Dynamic Stability

scholarly journals A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam–Hyers type

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmed Nouara ◽  
Abdelkader Amara ◽  
Eva Kaslik ◽  
Sina Etemad ◽  
Shahram Rezapour ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Boundary Value Problem ◽  
Fractional Derivatives ◽  
Boundary Value ◽  
Research Work ◽  
Existence Results ◽  
Fractional Boundary Value Problem ◽  
Numerical Examples ◽  
Fractional Derivatives And Integrals ◽  
Fractional Differential

AbstractIn this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann–Liouville fractional derivatives and integrals of multi-orders type are derived using Dhage’s technique, which deals with a composition of three operators. After that, its stability analysis of Ulam–Hyers type and the relevant generalizations are checked. Some illustrative numerical examples are provided at the end to illustrate and validate our obtained results.

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