In the domain of civil and mechanical systems, the control and reduction of vibration plays a key role in ensuring the efficiency, longevity, and safety of various machinery. In this work the effectiveness of geometric profiles in attenuating the vibrations is investigated. The inspiration is drawn from the natural systems, where irregularities on the surface profiles contribute to effective vibration attenuation. This study explores the potential benefits of introducing wavy spline structures onto the surfaces of structural components. This study centers on the investigation of vibrational characteristics of the geometric profiles. This exploration is driven by the necessity to gain insights into the dynamic behavior of elastic materials. The main objective of this work is to examine the impact of specific geometric configurations on their vibration characterization. A set of geometric profiles including straight profiles and nature inspired curved profiles are examined. A series of numerical simulations such as static structural, modal, and harmonic response analysis are performed. The static deflection is higher in concave beam and lower in convex beam compared to straight beam, due to its stiffness variation. The nature inspired geometric profiles exhibited a notable reduction in resonant displacement amplitude at frequencies above 100 Hz compared to the conventional structural configurations.