Tapered beams constitute functionally graded materials that are widely used in various engineering fields. The vibrational characteristics of tapered beams made of axially varying functionally graded materials are investigated via variational iteration method. Natural frequencies and corresponding mode shapes of axially functionally graded tapered beams are examined, and calculated frequencies are compared with results provided by previous researchers using other approximate methods. The efficiency and accuracy of this technique are demonstrated. The effect of nonhomogeneous material distribution, taper ratio as well as boundary conditions on the dynamical behavior of axially functionally graded tapered beams is thoroughly investigated as well.

锥形梁构成功能梯度材料，广泛用于各种工程领域。通过变分迭代方法研究了由轴向变化的功能梯度材料制成的锥形梁的振动特性。检查轴向功能渐变锥形光束的固有频率和相应的模态形状，并将计算出的频率与以前的研究人员使用其他近似方法提供的结果进行比较。演示了此技术的效率和准确性。还彻底研究了非均匀材料分布，锥度比以及边界条件对轴向功能梯度锥形梁动力学行为的影响。