Liao Haitao is an Associate Professor in Engineering mechanics, at Institute of Advanced Structure Technology, Beijing Institute of Technology.
He completed his Ph.D. degree at Beihang University. He has overcome the difficulties in non-smooth, strong nonlinearity, high dimensionality, uncertainty, etc., and established the simple space optimization design method of nonlinear dynamics in time and frequency domains for periodic and proposed-periodic motion. He proposed the stability analysis of proposed-periodic motion and periodic solutions of nonlinear systems with fractional order/time lag, and developed a nonlinear constrained optimization continuous extension method. By exploring bifurcation tracking methods for periodic motion destabilization boundaries, he enriched the theoretical methods for optimal design of structural dynamics. He also developed sensitivity analysis methods for chaotic systems and reliability analysis methods for periodic motion of nonlinear systems containing mixed probabilistic and interval uncertainties. The corresponding research results have been published in Computer Methods in Applied Mechanics and Engineering, Communication in Nonlinear Science and Numerical Simulation, Nonlinear Dynamics, Journal of Sound and Vibration and other authoritative journals in this field.
Since 2005, Liao Haitao has been engaged in scientific research on the strength and vibration of key components of aero-engine. His main research directions are multi-phase and multi-scale topology optimization design of composite structures and nonlinear dynamics optimization design methods, by focusing on the important scientific research needs of structural dynamics and the forefront of the discipline, and carrying out research on structural multi-phase and multi-scale topology optimization design methods, simple space optimization design method of nonlinear dynamics for periodic and proposed-periodic motion , nonlinear dynamics analysis methods (stability, sensitivity, reliability, etc.), metal blade disk/experimental study of structural dynamics of layup composite blades.
He proposed a sparse sample machine learning model without regular terms using the principle of topology optimization penalty, established a sparse sample machine learning prediction method to solve large-scale sparse optimization problems without imposing sparsity constraints, converged and penalized the unknown optimization variables to a sparse solution so as to achieve the purpose of feature selection under the condition of sparse samples. To convert the traditional two-layer cyclic optimization problem of reliability topology optimization into a single-layer optimization problem and realize the parallelization of reliability and robustness design, he proposed a data-driven uncertainty design method to merge the advantages of reliability and robustness design and established a sparse sample-driven uncertain design method for stiffness/strength topology optimization of multi-material structures.
Engineering applications of multi-material topology optimization based on isogeometric analysis combined with structured meshing.
[1] Liao Haitao, Optimization Theory and Applications of Structural Dynamics, National Defense Industry Press, 2024
[2] Liao Haitao, Yuan Xujing, Gao Ruxin*. An exact penalty function optimization method and its application in stress constrained topology optimization and scenario based reliability design problems[J]. Applied Mathematical Modelling, 2024, 125: 260-292.
[3] Liao Haitao, Ding Wenjie, Ai Shigang*, Gao Ruxin*. A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes[J]. Computer Methods in Applied Mechanics and Engineering, 2024, 421:116774.
[4] Liao Haitao. A single variable-based method for concurrent multiscale topology optimization with multiple materials[J]. Computer Methods in Applied Mechanics and Engineering, 2021, 378:113727.
[5] Liao Haitao. An incremental form interpolation model together with the Smolyak method for multi-material topology optimization[J]. Applied Mathematical Modelling, 2021, 90: 955-976.
[6] Liao Haitao, Zhao Quanyue, Fang Daining. The continuation and stability analysis methods for quasi-periodic solutions of nonlinear systems[J]. Nonlinear Dynamics, 2020, 100(2): 1469-1496.
[7] Liao Haitao, Wu Wenwang*, Fang Daining. The reduced space Sequential Quadratic Programming (SQP) method for calculating the worst resonance response of nonlinear systems [J]. Journal of Sound and Vibration, 2018, 425: 301-323.
[8] Liao Haitao. Optimization analysis of Duffing oscillator with fractional derivatives[J]. Nonlinear Dynamics, 2014, 79(2): 1311-1128.
[9] Liao Haitao. Novel gradient calculation method for the largest Lyapunov exponent of chaotic systems[J]. Nonlinear Dynamics, 2016, 85(3): 1377-1392.
[10] Liao Haitao, Sun Wei. A new method for predicting the maximum vibration amplitude of periodic solution of non-linear system[J]. Nonlinear Dynamics, 2012, 71(3): 569-582.
[11] Liao Haitao. Global resonance optimization analysis of nonlinear mechanical systems: Application to the uncertainty quantification problems in rotor dynamics[J]. Communications in Nonlinear Science and Numerical Simulation, 2014, 19(9): 3323-3345.
[12] Liao Haitao. Efficient sensitivity analysis method for chaotic dynamical systems[J]. Journal of Computational Physics, 2016, 313: 57-75.
[13] Liao Haitao. Piecewise constrained optimization harmonic balance method for predicting the limit cycle oscillations of an airfoil with various nonlinear structures[J]. Journal of Fluids and Structures, 2015, 55: 324-346.
[14] Liao Haitao, Li Mengyu, Gao Ruxin. A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems[J]. Journal of Vibration and Control, 2020, 27(19-20): 2219-2230.
[15] Liao Haitao. An approach to construct the relationship between the nonlinear normal mode and forced response of nonlinear systems[J]. Journal of Vibration and Control, 2014, 22(14): 3169-3181.
[16] Liao Haitao, Yuan Wenhao, Gao Ruxin*, Yuan Xujin*. An efficient penalty function method for scenario-based uncertainty quantification problems[J]. Journal of Vibration and Control, 2024. (First published online). DOI: 10.1177/107754632412281.
[17] Liao Haitao. A nonlinear optimization bifurcation tracking method for periodic solution of nonlinear systems[J]. Mechanics Based Design of Structures and Machines, 2020, 51(3): 1201-1225.
[18] Liao Haitao, Wu Wenwang. The Reduced Space Shooting Method for Calculating the Peak Periodic Solutions of Nonlinear Systems[J]. Journal of Computational and Nonlinear Dynamics, 2018, 13(6): 061001.
[19] Liao Haitao, Wu Wenwang. A Frequency Domain Method for Calculating the Failure Probability of Nonlinear Systems With Random Uncertainty[J]. Journal of Vibration and Acoustics, 2018, 140(4): 041019.
[20] Liao Haitao. The Reduced Space Method for Calculating the Periodic Solution of Nonlinear Systems[J]. Cmes-Computer Modeling in Engineering & Sciences, 2018, 115(2): 233-262.
[21] Liao Haitao, Wang Jianjun. Maximization of the vibration amplitude and bifurcation analysis of nonlinear systems using the constrained optimization shooting method[J]. Journal of Sound and Vibration, 2013, 332(16): 3781-3793.
[22] Liao Haitao. The application of reduced space harmonic balance method for the nonlinear vibration problem in rotor dynamics[J]. Mechanics Based Design of Structures and Machines, 2019, 47(2): 154-174.
[23] Liao Haitao, Wang Jianjun, Yao Jianyao, et al. Mistuning Forced Response Characteristics Analysis of Mistuned Bladed Disks[J]. Journal of Engineering for Gas Turbines and Power-Transactions of the ASME, 2010, 132(12): 122501.
[24] Liao Haitao. Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities[J]. Mathematical Problems in Engineering, 2013, 2013: 1-12.
[25] Liao Haitao. Nonlinear dynamics of duffing oscillator with time delayed term[J]. Computer Modeling in Engineering & Sciences, 2014, 103(3): 155-187.
[26] Liao Haitao, Gao Ge. A new method for blade fo
