The impact of structure's material and dimensions on its natural frequency are lacking in recent literature. The main aim of that paper is investigating material' characteristics effect on structures natural frequency. Five different types of materials (steel, concrete,wood, plastic and aluminum) which mostly used in engineering applications implemented in this study. A fuzzy system designed and structured for each type of materials. It used to optimize the natural frequency values related to height and area of structure. The results show that whilst the height of the structure is a very influential factor on its natural frequency, the type of material as well as area of the structure are also effective variables . For the same dimensions of the structure, wood shows the highest value of natural frequency, then steel followed by concrete. In addition, the natural frequencies of structures have been assessed against the wind, earthquakes
and traffic vibrations. These results can have useful applications and recommendations for engineering and design purposes. Wood can complement natural properties of a range of materials. Implications from this investigation can be useful for heavy machines laboratories, building structures and other engineering applications.