On The Mol Numerical Methods Of The Vibration Problem Of Beams

Beam as the basic building block of engineering structures, is often widely used ina variety of structures, it is the most basic of bearing component of the bridgeconstructions, housing constructions and other engineering structures, meanwhile, it isalso the most widely curved structure of building, machinery and other works. Whetherthe algorithm is simple and reliable is of great significance for large-scale science andengineering calculation, therefore, constructing a simple and reliable algorithm is a coreto improve the computational efficiency, which is something people have beenconcerned about. As we all know, the finite difference method for solvingapproximation of the partial differential equations shows important theoreticalsignificance and application value. For vibration beam problems, there are the finitedifference method, the symplectic algorithm, etc.This paper focuses on numerical solutions of the initial-boundary value problemabout the elastic straight beam under the action of horizontal force. Using the method oflines, partial derivative on space variable to the right of equation is replaced thefirst-order center difference quotient and second-order difference quotient, partialderivative on space variable to boundary conditions is replaced the first-order forwarddifference quotient and first-order backward difference quotient. The other twoboundary conditions and initial conditions are directly discrete to the lines, so, there is adiscrete format of the vibration problem of beams (which is initial value problems aboutthe time variable of second-order ordinary differential equations). Then fourth-order runge kutta method is used to solve this discrete format, which is a new method insolving the results. Anumerical example shows that the method has a high precision.