Oscillating Behaviors - A single-axis Microelectromechanical system gravimeter has recently been developed at the University of Glasgow. The sensitivity and stability of this device was demonstrated by measuring the Earth tides. The success of this device was enabled in part by its extremely low resonant frequency. This low frequency was achieved with a geometric anti-spring design, fabricated using well-established photolithography and dry etch techniques. Analytical models can be used to calculate the results of these non-linear oscillating systems, but the power of finite element analysis has not been fully utilised to explore the parameter space before now. In this article finite element models are used to investigate the behaviour of geometric anti-springs. These computer models provide the ability to investigate the effect of the fabrication material of the device: anisotropic \textless100\textgreater crystalline silicon. This is a parameter that is difficult to investigate analytically, but finite element modelling is used to take anisotropy into account. The finite element models are then used to demonstrate the design of a three-axis gravimeter enabling the gravity tensor to be measured - a significantly more powerful tool than the original single-axis device.