近年来，Kepler空间望远镜对大样本恒星进行了超高精度时序测光观测，揭示了恒星脉动的许多新现象，也为星震学研究提供了史无前例的机会。而LAMOST-Kepler和LAMOST-K2项目，已为数千颗Kepler视场的多类型脉动变星，提供了前所未有的同源且可靠的恒星大气参数。本项目计划利用Kepler卫星的超高质量光变曲线，对大样本盾牌座δ型变星、天琴座RR型变星、B型热亚矮变星和脉动白矮星，进行系统的脉动性质分析。依托LAMOST等望远镜的光谱观测得出的恒星大气参数，系统地构建恒星理论模型，计算本征脉动频率并与观测结果进行对照，从而证认恒星脉动模式，精确确定变星的物理参数和在赫罗图上的位置。对分别处于主序或主序后、巨星、以及演化晚期的大样本脉动变星进行系统的星震学研究，可以加深对恒星脉动现象和规律的认识，探测恒星内部结构，研究恒星内部物理过程，具有重要的科学意义。

Since recent years, the Kepler space telescope has made super high-precision time-series photometric observations for a large sample of stars, revealing a number of new phenomena of stellar pulsations, and providing unprecedented opportunities for the asteroseismic study. In the meantime, the LAMOST-Kepler and LAMOST-K2 projects have provided reliable and homogeneous atmospheric parameters for several thousands of different types of pulsating variable stars in the Kepler fields. With this proposal, we plan to make systematic analysis of pulsations for a large number of δ Sct, RR Lyr, sdBV and white dwarf variable stars, based on the exquisite high-quality light curves of Kepler. We shall also construct theoretical models of the target stars and calculate the pulsation frequencies of the eigen-modes, with the atmospheric parameters derived from the spectra observed mainly with LAMOST. By comparing with the observation-determined frequencies, we shall identify the modes of these frequencies, derive accurately the stellar parameters, constrain the locations of the variable stars on the H-R diagram. The systematic asteroseismic study of the large-sample of variable stars locating at the main-sequence, the post-main-sequence, the giant, and the late stages of the stellar evolutions, respectively, may deepen our understandings on the stellar pulsations, probe the internal structures of stars, explore the physical processes inside the stars, hence has important scientific significance.