In the early 1970s, wave theory was studied. In order to get rid of the dilemma of traditional methods to deal with complex fluctuations in open systems, computer numerical simulation technology was developed in the late 1970s and continues to this day. The study of open system boundary is the intersection of civil engineering, electromagnetism, optics, acoustics and geophysics. The artificial transmission theory and transmission boundary conditions put forward by him and his collaborators in this field are one of the original research results cited by many scholars in the world, and are called Liao absorption boundary conditions (note). Secondly, in 1984, the research group headed by him put forward the idea of decoupling and the method of decoupling from finite wave velocity. Then, this method is demonstrated, and combined with the research results of transmission boundary, the basic framework of space-time decoupling technology for near-field wave finite element simulation is established. This technique can be applied to the numerical simulation of waves in large complex open systems in many disciplines, such as structure-medium dynamic interaction, complex target scattering, near source and so on.
The analysis of wave field and dynamic problems of large engineering structures provides a way and starting point for the continuous development of this technology (review). The early achievements of the above research won the second prize of 1992 National Science and Technology Progress Award, and were summarized in the monograph Introduction to Engineering Wave Theory (second edition, Science Press, 2002).
In the field of earthquake engineering, engaged in earthquake risk assessment, strong earthquake seismology and structural dynamics research; Comprehensively promote seismic safety evaluation and seismic zoning in China. Responsible for the completion of "Dalian Earthquake Zoning", won the second prize of National Science and Technology Progress Award in 1989 for its pioneering work, and edited "Earthquake Zoning-Theory and Practice" (seismological press, 1990).
More than 0/00 papers (treatises) have been published in the above research fields, and young researchers (teaching) have been trained through first-line cooperative research. 1990, 1996 and 1998 were awarded the titles of "Young and Middle-aged Expert with Outstanding Contributions", "Advanced Individual in National Earthquake System" and "Excellent Graduate Tutor of Seismological Bureau of China" respectively, and 1997 was selected as "Academician of China Academy of Engineering".
Professor Liao is currently concerned with the forward modeling and inversion of wave motion. As far as forward modeling is concerned, he is interested in the fast calculation technology of scattering and radiation in large complex open systems. The development of this technology plays an important role in solving a series of scientific and engineering problems, and is also the basis for solving wave inversion. As far as inversion is concerned, he is interested in the inverse scattering of waves and related signal analysis technology and its application in imaging technology. He observed that important progress has been made in related research at home and abroad, but the research results are still far from ideal. Continued in-depth basic research will help promote the development of this field. He believes that the basic research of fluctuation is interdisciplinary, and it is worthy of attention to carry out the above research from an interdisciplinary perspective. His work in scientific wave calculation and corresponding signal analysis involves earthquake engineering, structural health diagnosis, electromagnetic waves in heterogeneous media, underwater acoustic physics, water wave dynamics and other fields. He hopes that interested young and middle-aged researchers will grow faster in this direction, and he hopes to make modest contributions to this through cooperative research, teaching and the compilation of postgraduate textbooks. Because his main goal now is to cultivate young people with excellent academic performance.