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# Stability Analysis - Science topic

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Questions related to Stability Analysis

Where is the scale factor in the Hoek & Brown rock mass failure criterion? Let's imagine an open pit mine in a jointed rock mass, benches could be 10, 15, or 20 meters in height. GSI does not account for the scale and it is among the main inputs for the prediction of these parameters, and D is an ambiguous parameter and there is no guideline to link it to the scale. Should we use the same (m, s, a) values for the stability analyses of these different scenarios? Or is it time to shift toward discontinuum methods, depending on the modes of failure?

**Dear All,**

**I want to know if anyone can help me with the techniques of slope stability analysis.**

Thank you very much.

I need the code of matlab of SEIR model in paper"Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia Suwardi Annas a , Muh. Isbar Pratama b , Muh. Rifandi b , Wahidah Sanusi b , Syafruddin Side b,∗"?

For example, A new line stability index for voltage stability analysis based on line loading, DOI: 10.14744/cetj.2023.0004, https://cetj.yildiz.edu.tr/storage/upload/pdfs/1683271957-en.pdf

I have been using a sliding mode observer (as shown in the attachment). I have designed the gains with the assumption that the derivative of the error

*(between the state estimates and measured states)*would be zero and the error would be equal to zero. Can someone help me in proving the stability of this particular SMO?Please provide some specific suggestions in this regard.

I am trying to find truncation error and von Neumann stability analysis of the following equations.

u_t = u_yy + f(x,t), 1

b_t = b_yy + u_y. 2

it is easy to find the truncation error (CFL) and von Neumann analysis of equation 1, while failing to see the CFL condition and stability analysis of equation 2. Is there any paper/book in which CFL condition and/or von Neumann analysis was discussed?

Really appreciate your time here.

If one is monitoring an underground rockmass structure (underground powerhouse currently producing electricity) using microseismic monitoring process and there is no occurrence of earthquake, blasting, micro-earthquakes, transportation of material etc. in that region.

We are getting about 150 microseismic event in six month and the deformation is low.

Can we say that we are doing dynamic stability analysis of that underground structure using Microseismic monitoring? If yes why?

Most of the researchers use performance standards for stability analysis such as Integral square error (ISE), Integral absolute error (IAE), Integral time absolute error (ITAE), and Integral time square error (ITSE). So how can we know which one would be the best for my work, especially for power system applications when selecting an objective function?

I am an undergraduate student doing a thesis regarding slope stability analysis using PLAXIS 2D. My study area is at Kajang, Malaysia. I only assumed the phreatic water level because I don't have any borehole data. I have already done the model but I have questions regarding my model:

1. Is the water level that I have marked and assumed logical? (40 m above flat land)

2. What does the legend on the right represent, and is it the FOS? (The FOS that I obtained from the model is 1.780 as shown in the picture below)

3. Is the part that I have marked in the picture the critical slip surface (Picture 3)?

Thank you in advance for your help.

In Lyapunov stability theory, we are studying the dynamical character of dynamical systems without finding the solution of the considered system. But how the existence of a solution is ensured?

Nonlinear Differential equations, stability analysis

I have two years and three location data. How to prepare file for stability analysis?

Two synchronous machines with different mechanical torque inputs of say 2 Nm to 17 Nm for machine 1 and 5 Nm to 15Nm for machine 2 are to be specified in the form of droop control for stability analysis. An idea on how this could be implemented in MATLAB would be so much appreciated. Any relevant journals that could be of help would also be appreciated.

Researchers. I want to make a global stability analysis to a prey-predator system, which includes eco-evolutionary feedbacks. After literature survey, I found that Lyapunov function and Krasovsky method may be the suitable ways to that question. So, is there any Software or Package can be used resolve that question? Or, I have to analyze it by hand?

I know that tensile strength can reduce crack length in a dam joint, but does it help fix overturning of a dam? or is it necessary to use post-tension anchor to fix overturning.

Thank you

Hello everyone.

I am currently doing a dam stability analysis. I am analysing dam piers indepently of the spillway. According to the results, the piers are not stable in slip. But my design criteria are too conservative, because I did not take into account shear keys.

I tried to find documents on how to consider shear keys at the admissible limit state, but couldn't find anything. Can anyone guide me?

As riaxial test is used for determination of soil cohesion and friction angle etc. through three different procedures viz., Unconsolidated Undrained, Consolidated Drained and Consolidated Undrained (UU, CD and CU). Now my query is that which of the above three procedure is best suited for testing of soil samples for the purpose of slope stability analysis.

My samples are from Sikkim in Eastern Himalaya, India, which is basically a metamorphic terrain.

FEM has widely been used for large scale point specific slope stability analysis. I am looking for a program to perform FEM that is available for free and also stands up to research standard.

Can anyone share articles and papers that use Lyapunov's direct method to prove global stability analysis? Or is there any technique for constructing Lyapunov functions, especially for equations with saturation treatment functions. Your help will be greatly appreciated. Thank you!

If you build a parameter learning algorithm based on the Lyapunov stability theorem for updating the parameters of an adaptive fuzzy controller, how to determine the cost function and Lyapunov function? Is there a physical connection between them?

I'm Performing slope stability analysis using FLac3D. 6.0. the constitutive and seismic waves seem correct, but the software still refuses to perform

For the discrete-time Extended Kalman filter (EKF), a stochastic stability analysis is discussed by Reif et al. in their paper "Stochastic stability of the discrete-time extended Kalman filter" (https://ieeexplore.ieee.org/abstract/document/754809). Recently, there have been works on EKF with unknown inputs, in particular, for arbitrary unknown inputs. Are there any works providing such stability analysis similar to Reif's work available for these EKF with unknown input filters?

sign(t), normally, does not have a Laplace representation. In sliding mode observer based approach, we use the sign of the estimation error. Then, a Lyapunov stability analysis follows to ensure stability of the particular observer. However, if one wants to evaluate the overall closed-loop stability analysis, Laplace transformation is conveniently used. Now, sign of the estimation error in digital environment is like a unit impulse function at kth sampling time. Therefore, would it be correct to represent sign(error) in Laplace domain as a shifted Laplace of a unit impulse function? Does anyone has a particular idea about this concept? I would be happy to have any information regarding this.

Kind regards to you all.

Contiguous pile design?

Like

1. how to find pile stability analysis below the dredge level.

2.How to find Young's modulus and Poisson ratio of soil.

3. if i have "n" Number of

**pie value and cohesion value. In which value**may I use to calculate the stability analysis like**higher**pie value or else**lower**pie value and also cohesion higher value are lower value.It is required for the stability analysis of bearing.

Employing the terminal slidning mode technique (S. Yu, X. Yu, et.al., doi: ) for the second-order uncertain system to achieve finite-time or fixed-time stability, the control input and the velocity state will overshoot by a large amount during the system evolution. See the attached graph for details.

Is there a effective scheme to avoid such phenomenon?

can anybody help me to brief about how to do stability analysis in plant breeding, based on wheat rust data how can i do the stability analysis for wheat rust resistance and how much time it take to do that

Can we check the positive definiteness of a multivariable polynomial using MATLAB functions? Of course in literature, there are few complex methods that use tensor algebra. However, before going to such methods if you have some simple suggestions that will be appreciated. In a stability analysis of systems, It is usually required to check that whether the obtained Lyapunov function is positive or not for x>0. For example, if we obtained the following Lyapunov function with these parameters:

a1 = 0.689
a6 = 0.368
a7 = -0.238
a8=-0.336

That particular example is in a homogeneous form. But if the obtained polynomial is in a nonhomogeneous form then what will be the way to proceed? If we have more than two variables (e.g x1, x2, x3, x4,...)? Please correct me if I am wrong in statements.

Hi

I'm looking for a book for discretization schemes in dropwise condensation and stability and consistency analysis of it.

if anyone have idea about this subject, please share with me

thanks

1-In System Frequency Stability Analysis(SFR), what is the difference between the Deltaf, DeltaP and RoCoF? What is their connections together? For example, if one parameter increases and another decrease, what should I get from it?

2- In a microgrid, if the total inertia of the system increases, what is its impact on DeltaP(Active Power Injection) of each Distributed Energy resources response? what is its frequency response requirement in Mw?

Thanks :)

The time step constraint is not sufficient to guarantee the stability of numerical scheme in any case. This constraint is only for the convection terms. Additional constraint is required for the source term. Can you please help me that what are those additional constraints if source term?

I want to simulate IPFC for small signal stability analysis in SMIB and Multi-machine power system.

I would like to assess the stability of the 18 papaya varieties growing in the same environment for two years.

How can one do slope stability analysis in Plaxis or RS2 for debris slopes, during and after rainfall if the rainfall intensity is known?

How can one do slope stability analysis in FEM or FDM for unsaturated soil conditions and fully saturated conditions?

I'm doing my project on slope stability analysis under earthquake load and building load using Plaxis 2D software. For the earthquake input load a would like to Know how to form the earthquake input load from the response spectrum as I mentioned above and also I would like to know about the procedures for doing dynamic analysis for the slope under earthquake load.

In eart slope stability analysis by SLOPE/W Analysis

I am working on an algorithm that receives 4 pulsating inputs to produce two continuous outputs. A numerical model that enables numerical simulation is all that I have in hand. However, the practical value of the system can't be assured unless a stability analysis can be conducted. My question is: how to assess such algorithm stability while I don't have a dynamic model of the algorithm in the frequency domain?

I have some varieties and there performance in relation to the yield and contributing character are varrying across th location and season. Canany one suggest free and best software for cropyield stability analysis?

I have designed an observer based control strategy. Now I want to analyze its stability analysis. So my query is; that we must sort out the stability of the closed-loop system or we can find it for a separate section.

To verify the model simulation data is not enough. To support the research, I need to authenticate and synchronize the model with the original data. If anyone is familiar with it, please help me out.

Whath does a pair of equal floquet multipliers signify in stability analysis

Hello Sir/Mam

i have query regarding designing of SRAM cell

1. What are the parameters those should be analyzed in designing of SRAM cell?

Average power consumption, leakage power, leakage current, delay, stability analysis, pdp

2. how can be performed process corner analysis or monte carlo simulation in sram cell design ?

what it will provide?

please reply

This is a monetary question:

There are products like the Phoenix LiDAR Systems. Attached to a drone it is possible to mine highly precise geospatial data very fastly.

Would universities around the globe buy these data sets for research purposes? Is it conceivable to sell them or to get a job from universities or other companies to investigate a certain area as a freelancer? How much would they pay approximately per squaremeter?

Geologists could also mine the data with these Systems and subsequently analyse it on site or at least in reachable distance with their knowledge e.g. for terms of slope stability analysis and then sell their findings and reports. Does this sound anyware feasible or is it complete and utter nonsens in terms of organisation or financially?

Dear All

I have multi-environment data and would like to do stability analysis in R? I found two R function and respective packages like Agricolae and plant breeding? I tried both and got different Anova table. what is the basis to select between this two package? Is there any other package and R codes available for stability analysis?

My data has 12 locations, 8 genotypes and 3 replications in each location.

Thanks

Anshuman

Hello,

I plan on investigating whether serum/plasma/exosomes is a better model to study miRNAs. For this, I would want to perform a stability analysis on my serum and plasma samples, that are enriched with exosomes and those that are not enriched. I know that addition of RNAse inhibitor would indicate the stability in samples enriched in exxosomes, but can someone let me know how much amount of this inhibitor should be added to each of the samples? And a detailed process on how to go about with this? Suggestions and inputs on this would be greatly helpful.

Thanks,

What are the assumptions involved in idealising the earthquake forces as static forces and what are the shortcomings of this method?

I am working on oil in water emulsion. i wanted to know that if i make a 250 ml emulsion of 60% oil and 40% water containing 1000 ppm surfactant and remove 50 ml from it for stability analysis. so i am left with 200 ml containing 60% oil and 40% water with some surfactant while rest of the surfactant in 50 ml sample i removed. so inorder to convert the 200ml of 1000 ppm surfactant emulsion to 2000 ppm emulsion, I just need to add required extra surfactant according to total volume i.e. 200 ml. is this the right way? i am assuming complete mixing since i am mixing for 1 hour

Hi,

I would like to know if there is any free or paid software that includes the effect of the plants (hydrological and mechanical) in the slope stability analysis?

Thanks in advance.

SLOPE/W is a limit-equilibrium based software used to find FOS of a slope against instability. I am not sure what FLAC is used for and what is the difference between the two?

Am using an

*IEEE 14*bus as case study for voltage stability analysis, and i noticed that the lengths of transmission lines always considered as zero in some papers while any transmission line has its own actual values. Thanks in advanceAm using an IEEE 14 bus for voltage stability analysis with wind turbine , so i need the mdl file of original IEEE 14 in PSAT, not the in simulink matlab

Hi,

I am looking for a good reference for hybrid continuous-discrete dynamic stability analysis using linear matrix inequality approach.

Best,

Sajjad Malek

Please provide me more about Evans function for stability analysis with different examples. I will be grateful to those who will share their knowledge and work of related to the Evans function.

Thanks to all.

The generally used performance criteria in stability analysis includes Integral time absolute error(ITAE), Integral square error (ISE), Integral time square error(ITSE) and Integral absolute error (IAE). What is the physical significance of ITAE, ISE, ITSE and IAE?

I want to link matlab to opensees to complete the dynamic stability analysis of a 2D frame

1. What are the benefits of the current slope stability software programs, to solve the problems? what are the shortages of these software programs?

2. Why we need this review ; why we still need to new methods on slope stability? what are the limitations of current methods especially limit equilibrium method ?

3. what are the Limitations of Limit Equilibrium Methods; how can we find new methods; what should we do in the future?

I am working on oil in water emulsion. i wanted to know that if i make a 250 ml emulsion of 60% oil and 40% water containing 1000 ppm surfactant and remove 50 ml from it for stability analysis. so i am left with 200 ml containing 60% oil and 40% water with some surfactant while rest of the surfactant in 50 ml sample i removed. so inorder to convert the 200ml of 1000 ppm surfactant emulsion to 2000 ppm emulsion, I just need to add required extra surfactant according to total volume i.e. 200 ml. is this the right way? i am assuming complete mixing since i am mixing for 1 hour

I am looking for a slope stability analysis software package with at least 10 licenses with reasonable cost for my advanced soil course (student's vergin). Is there any free online one??

I want to know about good statistical packages for analysis of plant breeding trials like multivariate analysis, generation mean analysis and stability analysis. I am using R, SPSS and PBTools but I am not getting the desired results due to certain limitations. Please let me know is there any free version available for GENSTAT or any other biometrics packages for smooth analysis.

On what parameters the selection of continuation method depends ?

I have a soil moisture data of a soil profile (9meter) that is prone to landslides which we measure moisture content per meter. I would like to use it to assess Factor of safety using slope stability. Is there a way to put the specific water content at every meter on the rocscience software or any other related geotech slope stab software?

Dear colleagues

I am trying to acquire the graph of probability of failure versus factor of safety. In other words, I would like to depict a figure in which the vertical axis shows the probability of failure and the horizontal axis shows factor of safety. As a result of random set theory, the cumulative density function for factor of safety has been calculated. That is to say, there has been a graph in which the vertical axes shows cumulative density function and the horizontal axis shows factor of safety. The question arises here, how the probability of failure for each factor of safety would be derived from cumulative density graph of factor of safety?

Should I use fragility function in order to obtain probability of failure?

I would be pleased to give you any further information that you may request.

How to analyze the stability of stagnation point flow over stretching /shrinking sheet, i mean i have seen some papers on which they find dual solution for certain range of parameters. Can anyone suggest me some good books or papers on stability analysis for fluid flow?

I am trying to reproduce the the examples of "Stability Analysis and state-feedback control of LPV systems with Piecewise constant parameters subject to spontaneous poissonian jumps", i am trying to implement them, on SOS tools, but somehow it seems to be impossible, Any help and suggestion will be highly appreciated, Thanks

Dear Sir,

Dear Syir,the main differences between 2D and 3D slope Stability analysis in terms of factor of safety.

Bode plot of system can be used to explain its stability instead of pole zero plot? Bode plot can be used in paper for stability analysis?

I am interested in the motivated stability analysis of magnetized rotating spherical nonuniform inhomogeneous dust molecular clouds on the Jeansean scales of space-time. The components of the

**Lorentz and Coriolis forces**are the complicating factors. Can anyone extend any help in terms of suggestion for simplification, or literature for execution?In the reference ''On stability analysis of active disturbance rejection control for nonlinear time-varying plants with unknow dynamics '',

why when A is Hurwitz, there exists a finite time T1 > 0 such that

Eq.(19) exists?

Even when A is hurwitz, there exists positive elements in the A matrix. How to explain this?

Hi, All

I am doing the project about slope stability analysis considering climate change. I need the project data and historical data of singapore. Where can i get these data?

Hello everyone,

I am trying to simulate the breaching process of earth embankments during overtopping by performing a stability analysis in PLAXIS 2D. I was wondering if it is possible to remove the blocks that have collapsed and continue on the modified mesh.

Thanks for your help !

While ascertaining stability of genotypes, how to estimate the % variation due to environments, genotypes and their interaction. Can it be calculated manually (in MS Excel)?

1. What are the significance of singular value decomposition?

2. What do we understand about a matrix from singular value decomposition.?

3. What is the specialty of SVD for stability analysis of a system?

Please explain me with detail but easy explanation. I will be really grateful

My research area is low frequence oscillation damping in multimachine system.

Need help regarding stability analysis, hovering simulations and trajectory tracking of small scale helicopter.

I have designed a controller using Integrator backstepping method and that controller is based on Lyapunov Theory. I have a question How I can check stability of resulting controller?

This is regarding the Von-Neuman Stability analysis. In this analysis, we assume the BCs to be periodic and as a consequence, assume a Fourier Series Form for the analysis. I want to know what approach may be used to analyse the stability if the BCs are not periodic? Thanks in advance for taking time off to reply.