The magnetoelectric (ME) effect in a bilayered piezoelectric/ piezomagnetic cylinder with an imperfect interface under harmonic excitation is solved analytically. We show that while the interface imperfection would always reduce the static ME effect, the imperfect interface could play a significant positive role in enhancing the ME effect in the frequency domain >100 kHz. Combining with the curvature of the cylinder and the mechanical boundary conditions, we further demonstrate that it is possible to excite large ME effect at double and even multiple resonance frequencies, a unique feature which should be important to various microwave devices, such as antennas.1 Introduction The magnetoelectric (ME) effect is defined as the ratio of the electric field output over the magnetic field input or vice versa. This coupling feature between the magnetic and electric fields can find important applications in various smart devices and systems, e.g. antennas, energy harvesters, magnetic sensors, current sensors, ME transformers, filters, phase shifters, and gradiometers [1][2][3][4]. While most single-phase multiferroic materials exhibit only a very weak ME effect, strong ME effects could be achieved by bonding a piezoelectric (PE) phase to a piezomagnetic (PM) one, the typical multiferroic composite. The ME effect in layered composite plates was investigated both analytically and experimentally [5][6][7][8][9][10][11][12]. The ME effect in PE/PM composites with other shapes, such as disk, cylinder and shell, was also reported [13][14][15]. Studies on multiferroic nanocomposites were further carried out [16,17]. Several practical and efficient ways were proposed to enhance the ME effect, for instance, by changing the geometric parameter and mechanical conditions [18], using the resonance driving frequency [19], employing the functionally graded materials [20], altering the polarization direction [21], and by applying different magnetic bias field [22].