The invention particularly relates to a
random response analysis method for a piezoelectric-electromagnetic
hybrid energy collector under pulsating wind excitation, and the method comprises the steps: building a
mechanical vibration equation containing a galloping aerodynamic item and a time-
delay feedback control item, and enabling the
mechanical vibration equation to be combined with a
piezoelectric voltage state equation and an
electromagnetic current state equation to form an initial
electromechanical coupling equation set; therefore, the mechanical end dynamics and the energy conversion effect of the two branches are simultaneously represented in the same model. Introducing the dimensionless fluctuating
wind speed into galloping
aerodynamic force and performing equivalent modeling by using
multiplicative noise so as to explicitly map the fluctuating
wind speed into a state-related random excitation item;
voltage and current variables are equivalent to algebraic terms of displacement and speed by adopting
harmonic transformation, and an equivalent decoupling
system is obtained, so that model variable transformation is realized, and the analytical solution efficiency is improved; and finally, a steady-state probability density function is obtained based on energy envelope random averaging, and a
random response analysis result is calculated according to the steady-state probability density function, so that a reliable basis is provided for evaluation of
control parameters and
energy harvesting performance.