Analytical model and energy harvesting analysis of a vibrating slender rod with added tip mass in three-dimensional space

Abstract In the paper, a new 3D energy harvesting system is provided. This work discussed Lagrange approach to derive differential equations of motion in case systems. An electromechanical consists mechanical resonator, piezoelectric transducer and electrical circuit with load resistor. A flexible slender rod clamped at bottom loaded by tip mass proposed as resonator. Moving space, it enables avoid gravitational potential barrier straight vertical shape buckling. paper investigates response deflection root mean square power output selected vibration mode shapes an attached mass.