“…For supports, apart from four typical formats including cantilevered, clamped-clamped, clamped-pinned and pinned-pinned [2], some nontraditional formats have sprung up in recent years, e.g., fixed [3][4][5] and movable [6][7] elastic supports, or combined elastic-damping supports [8][9][10] etc. For inner fluid, inviscid fluid flow with steady velocity is usually the first choice by researchers [11][12][13][14][15][16], however, as applications of fluid-conveying pipe has become more and more sophisticated, fluid characterized by pulsating [17][18][19] flow velocity, viscosity [20][21], turbulent flow [22][23], etc. has come into being recently.…”