应用基于热质理论的拉格朗日方程对含内热源一维瞬态导热问题进行了近似求解,计算结果与精确解吻合较好;同时指出了现有文献中采用分析力学方法讨论导热问题时存在的某些不足.本文工作表明了基于热质理论用分析力学观点研究导热间题这一方法的有效性,也从一个侧面说明热质和热质能等热学新概念具有一定的合理性.“,”Using Lagrangian equation based on thermomass theory,the approximate solution to a 1D transient heat conduction problem involving heat source is obtained,which is in good agreement with the exact analytical solution.Certain drawbacks of existing theory are discussed.The present work shows that,based on thermomass theory,heat conduction problems could be treated from the perspective of analytical mechanics.Also,the concepts of thermomass and thermomass energy are to some extent justified.