4.3 Numerical analysis of the theoretical model
The dynamic model of m-SPAs Equation (1) is a first-order matrix partial differential equation, which generally has no analytical but numerical solutions. We analyze the dynamic pressures by MATLAB and SIMULINK (The MathWorks, Inc., USA). MATLAB is used to adjust stimulation parameters and control the simulation process. SIMULINK takes charge of numerical solutions by the fixed-step solver ode14x (extrapolation) with a step size of 0.001 s. The numerical solutions include \(p_{tank}\) , \(p_1\) , \(p_2\) , and \(p_3\) . The actuation frequency and pressure magnitude can be extracted from the solutions.