TY - GEN AU - Nunes, Afonso AU - Da Silva, Samuel AU - Ruiz Serván, Adrián A4 - Matemáticas PY - 2022 SN - 1095-8568 SN - 0022-460X UR - http://hdl.handle.net/10498/34750 AB - A Lie symmetry method-based approach is proposed for systematically computing general solutions in closed-form for the mode shape equation of non-uniform and unconventional vibrating rods. The mode shape equation is modeled by the elementary rod... LA - eng KW - General solutions KW - Non-uniform rods KW - Mode shapes KW - Elementary rod theory KW - Lie symmetries TI - Exact general solutions for the mode shapes of longitudinally vibrating non-uniform rods via Lie symmetries DO - 10.1016/J.JSV.2022.117216 ER -