This study uses the data-driven machine-learning technique called ridge regression to address an innovative method of designing hourglass lattice-structured metamaterials. Metamaterials are engineered materials with properties derived from their intricate structural arrangements, holding promise for various applications. The hourglass lattice arrangement is exciting because of its unique mechanical characteristics and possible advantages in stiffness m odulation. D esigning s uch c omplex s tructures o ften i nvolves m anual i terations a nd simulations, which can be time-consuming and limited in exploring the vast design space. In this paper, we suggest an innovative approach that uses data-driven machine learning to speed up and improve the design process. By training models on a dataset of metamaterial behaviors, we enable the prediction of optimal hourglass lattice configurations f or d esired m echanical p roperties. T his p rediction u ses a m achine l earning a lgorithm t o analyze the data obtained from existing design simulations. This predictive capacity empowers researchers and engineers to explore an extensive design space efficiently, thus uncovering optimal configurations that might remain undiscovered using traditional methods like manual adjustments and iteration or physical prototyping and testing, which are time-consuming and labor-intensive. Engineers iteratively refine d esigns b ased o n s imulation o r test results, limiting design space exploration and potentially missing optimal configurations. T he c ore innovation lies in the ability of these models to predict the mechanical properties and behaviors of hourglass lattice metamaterials based on their structural characteristics, such as radius of curvature and thickness. This methodology can potentially revolutionize metamaterial design by efficiently us ing da ta-driven ma chine-learning models.

Wave propagation in periodic media is crucial for energy transmission, enabling control over energy direction and isolation. This involves breaking the inversion symmetry of a spring-mass chain by introducing mirrored copies of periodic combinations, creating a unique, irreversible structure with distinct dispersion properties. The customizability and linearity of the interface lattice present the main challenge in controlling the interface mode. Our study focuses on designing a controllable on-demand interface mode using shape memory alloy-based smart material actuation mechanism. We included shape memory alloy-type springs along with the conventional springs in the analysis. SMA has the unique ability to change its phase in response to a temperature change due to the phase transition between martensite and austenite crystal structures. As a result, the modulus of elasticity also varies resulting in a change in stiffness. Through this system, the voltage-dependent stiffness can be tuned. This, in turn, enables the existence of an interface mode to be adjusted to the desired frequency and amplitude. The proposed system also allows us to obtain a range of split bandgaps that are dependent on controlling parameters. It is observed that the variation in the actuation voltage is to be controlled for the interface mode tuning and adjust stiffness accordingly. A generalized theoretical scheme is developed for several types of spring combinations at the interface and its effects are compared. Such system can significantly change the wave propagation in periodic media, leading to advancements in energy transmission systems with enhanced efficiency and versatility. Thus, the obtained interface mode within the bandgap can be tuned by the applied voltage enabling future application in wave focusing, wave guiding, and energy harvesting.