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updated 11 months ago

Mesh a plate with hole by Siva Srinivas Kolukula

Meshing a plate with hole at center of given radius (meshing, grid, transfinite interpola...)

Xb(s,Domain)

Xl(s,Domain)

Xr(s,Domain)

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updated 1 year ago

Nearest neighboring particle search using all particles search by Siva Srinivas Kolukula

To get the list of nearest neighbors around a given particle (nnp, all pair search, nearest neighbor sear...)

NPP.m

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updated 1 year ago

Basins of attraction by Siva Srinivas Kolukula

To plot a basin of attraction for given governing equations: x^3-y = 0 ; y^3-x = 0 (basins, attraction, basins of attraction)

NewtonRaphson(X)

BasinsofAttraction.m

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updated 1 year ago

Stability Chart by Siva Srinivas Kolukula

To plot the stability chart or Ince strut diagram of Mathieu Equation (mathieu equation, hills equation, hills determinants)

PlotAxisAtOrigin

StabilityChart.m

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updated 1 year ago

Transfinite Interpolation by Siva Srinivas Kolukula

To demonstrate grid generation using Transfinite Interpolation (grid generation, algebraic method, transfinite interpola...)

Xb(s)

Xb(s)

Xb(s)

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updated 1 year ago

Grid Generation by Siva Srinivas Kolukula

To demonstrate grid generation using analytic coordinates systems. (grid, grid generation, mesh)

BipolarCoordinates(Xi,Eta,a)

EllipticCylinderCoordinates(Xi,Eta,a)

Horseshoe(Xi,Eta,row,b0,b1)

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updated 2 years ago

Find angles by Siva Srinivas Kolukula

Find angles of triangle and/or quadrilateral when vertices are given. (triangle, quadrilateral, angles)

FindAngles(vertices)

QUADangles(vertices)

TRIangles(vertices)

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updated almost 3 years ago

Mathieu Equation (Parametric Oscillator) by Siva Srinivas Kolukula

Numerical and phase plane analysis of Mathieu equation / parametric oscillator (mathieu equation, parametric oscillator, ode45)

MathieuEquation(t,x)

ParametricOscillator.m

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updated almost 3 years ago

Plate Bending by Siva Srinivas Kolukula

Bending of thin plate under uniform transverse pressure is solved using Finite Element Method (finite element method..., finite element method, plate bending)

BoundaryCondition(typeBC,coordinates)

Force(nnel,shape,P)

GaussQuadrature(order)

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updated almost 3 years ago

The Plane Stress Problem by Siva Srinivas Kolukula

Plate under uniform tension at its edges is solved using Finite Element Method (finite element method, postprocessing, plate)

GaussQuadrature(ngl)

PlotFieldonMesh(coordinates,nodes,component)

PlotMesh(coordinates,nodes)

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updated almost 3 years ago

Meshing thin shells using four noded elements by Siva Srinivas Kolukula

To mesh thin shells using four noded elements to use in Finite Element Analysis (thin shells, preprocessing, finite element analys...)

MeshConicalShell(Radius,theta,Height,NT,NR)

MeshCylindricalShell(Radius,theta,Height,NH,NT)

MeshSphericalShell(Radius,Height,theta,phi,N)

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updated almost 3 years ago

Meshing a plate using four noded elements by Siva Srinivas Kolukula

To mesh a plate with four noded elements for Finite Element Analysis (preprocessing, mesh, nodes)

MeshCircularPlate(Radius,theta,NR,NT)

MeshRectanglularPlate(L,B,Nx,Ny)

SHOWELEMENTS(ShowElements,ShowNodes,coordinates,X,Y,nel,n...

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updated 3 years ago

A tour of Parametric Equations by Siva Srinivas Kolukula

Collection of Parametric Equations (parametric equations)

ParametricEquations.m

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updated 3 years ago

SpringPendulum by Siva Srinivas Kolukula

Simulation of Nonlinear Spring Pendulum (spring pendulum, animation, ode45)

Animation(ivp,duration,fps,movie,arrow)

Equation(t,x)

Spring.m

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updated 3 years ago

Monte Carlo Method by Siva Srinivas Kolukula

Calculating pi using Monte Carlo Method (monte carlo method, monte carlo simulatio..., random numbers)

MonteCarlo.m

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updated 3 years ago

SimplePendulum by Siva Srinivas Kolukula

Simulation of Nonlinear Simple Pendulum (simple pendulum, ode45, sdof)

Animation(ivp, duration, fps, movie, arrow)

Equation(~,x)

arrowh(x,y,clr,ArSize,Where)

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updated 3 years ago

Butterfly Motion by Siva Srinivas Kolukula

Animation of Butterfly Flight (butterfly, parametric equations, animation)

Butterfly.m

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updated 3 years ago

Bead on a rotating hoop by Siva Srinivas Kolukula

To study the motion of a bead on a rotating hoop/wire or ring. (animation, bead on rotating hoop, nonlinear equations)

Animation(ivp, duration, fps, movie)

Equation(t,x)

BeadOnRotatingHoop.m

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updated 3 years ago

Natural frequencies & buckling loads of columns using Finite Element Method by Siva Srinivas Kolukula

Natural frequencies and Euler buckling load are calculated using finite element method technique (natural frequencies a..., mode shapes, finite element method)

BoundaryConditions(sdof,bc)

PlotModeShapes(vec,fsol,beam,nbc)

[index]=eldof(iel,nnel,ndof)

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updated 3 years ago

Response Spectra by Siva Srinivas Kolukula

Given the Seismic input in t vs. a form, plots the displacement response spectra (seismic analysis, structural dynamics, earth quake)

odefun(t,y,xi,Tn,t1,a2)

ResponseSpectra.m

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updated 3 years ago

Postprocessing in FEM by Siva Srinivas Kolukula

Postprocessing in Finite Element Method (finite element method, postprocessing)

PlotFieldonDefoMesh(coordinates,nodes,factor,depl,compone...

PlotFieldonMesh(coordinates,nodes,component)

PlotMesh(coordinates,nodes)

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updated 3 years ago

Stress recovery by Siva Srinivas Kolukula

a code is written to extract stress in 2D plane stress analysis (finite element method, stress recovery, plane stress)

.....

Extrapolation(stressGP)

GaussQuadrature(ngl)

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updated 3 years ago

Wilson tita Time Integration Method by Siva Srinivas Kolukula

To solve for systems response to external excitation using Wilson tita Time Integration Method (structural mechanics)

WilsonMethod(M,K,C,R)

Ex.m

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updated 3 years ago

Newmark's Method for Linear Systems by Siva Srinivas Kolukula

A code is written for Newmark's Method for Linear System and an Example problem is solved (structural mechanics, structural dynamics)

ModalAnalysis(M,K,C,P,lambda)

NewmarkMethod(M,K,C,P,phi,sdof,acceleration)

Example.m

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updated almost 4 years ago

newmark time integration sheme by Siva Srinivas Kolukula

time integration of n-dof system (structural mechanics)

newmark(sdof,R,m,k,c)

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