Purpose <p>The design capacity of the ultra-high voltage flexible DC valve cooling system is large, with high integration and complexity. The valve cooling equipment lacks effective monitoring methods, and internal faults such as bullet breakage, cracking, and damage of rotating equipment seals and bearings often rely on operational experience for judgment, lacking new micro vibration sensors. </p> Methods <p>In this paper, the dynamic-based formulation of a sandwich nanocomposite reinforced doubly curved MEMS shell composed of the graphene origami reinforcements is studied using a higher-order modeling and multi-field equations. This formulation extends the classical constitutive relations to a multi-field framework, accounting for the coupled effects of thermal, mechanical, electrical, and magnetic loads. The kinematics are enhanced through a higher-order deformation theory, which more accurately captures the behavior of complex structures. The governing equations are derived rigorously using Hamilton's principle. Finally, the resultant material properties in the curvilinear coordinate system are computed using homogenized data sourced from the literature, which itself is derived from experimental measurements and statistical analyses. </p> Results <p>The main novelty of the present work is investigating the simultaneous effect the graphene origami as a temperature/foldable dependent material and multi-field loading of sensor attachments on the vibrational responses of the sandwich structure. The material properties of the graphene origami reinforced copper matrix are temperature dependent and function of volume fraction and foldability characteristics of the graphene origami. </p> Conclusion <p>The vibrational characteristics are analytically evaluated with changes of significant geometric and material characteristics of the graphene origami reinforced shell.</p>