# ++++++++++++++++++++++++++++++++++++++++++++++++++application: SpringRK4App.R
# Simulation of a spring considering no friction
importFromExamples("SpringRK4.R")
# run application
SpringRK4App <- function(verbose = FALSE) {
theta <- 0
thetaDot <- -0.2
tmax <- 22; dt <- 0.1
spring <- SpringRK4()
spring@state[3] <- 0 # set time to zero, t = 0
spring <- setState(spring, theta, thetaDot)
# spring <- setStepSize(spring, dt = dt) # using stepSize in RK4
spring@odeSolver <- setStepSize(spring@odeSolver, dt) # set new step size
rowvec <- vector("list")
i <- 1
while (getState(spring)[3] <= tmax) {
rowvec[[i]] <- list(t = getState(spring)[3], # angle
y1 = getState(spring)[1], # derivative of the angle
y2 = getState(spring)[2]) # time
i <- i + 1
spring <- step(spring)
}
DT <- data.table::rbindlist(rowvec)
return(DT)
}
# show solution
solution <- SpringRK4App()
plot(solution)
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