Mechanical vibrations can reduce the performance of precision systems, motivating the development of adaptable vibration isolation solutions. This thesis investigates a beam-node metamaterial, designed to exhibit quasi-zero-stiffness behavior through geometric nonlinearity. A simplified two-dimensional model consisting of horizontal, vertical, and diagonal slender beams is optimized using a genetic algorithm to address discrete design variables and nonlinear structural response. The optimized design is manufactured and experimentally evaluated through static compression and dynamic vibration tests. Numerical simulations are compared with experimental results to assess the predictive accuracy of the model. The results show that the simplified beam-node model captures the key static behavior of a single unit cell. While deviations occur for small metamaterials due to boundary effects and material-related phenomena. Furthermore, deviations in the dynamic behavior of small metamaterials are identified, and the source of this behavior is explained through additional testing. This study shows that a simple beam-node metamaterial combined with an efficient optimization strategy is a viable approach for vibration isolation solutions, laying the foundation for its experimental realization.