دانلود رایگان مقاله آنالیز الاستیک تاریخ زمان دینامیک فولاد بدنه با استفاده از یک عنصر برای هر عضو

ABSTRACT

This paper proposes an efficient numerical simulation technique for dynamic time-history analysis of space steel frames by one-element-per-member model, considering geometric nonlinearity including P-Δ-δ effects, large global deflections and member deformations. The curved arbitrarily-located-hinge (ALH) beam-column element is employed for capturing members' behaviors and simulating initial imperfections, where the internal degreeof-freedoms (DOFs) are condensed for improving the computational efficiency. The consistent element mass matrix is derived based on the Hermite interpolation function, and the Rayleigh damping model is adopted for representing the system viscosity. To solve the equation of the time-history motion, a direct time-integration method via Newmark's algorithm is utilized for the step-by-step solution. A robust numerical procedure using the incremental secant stiffness method is introduced for the large deflection analysis of space frames, allowing arbitrary rotations in a three-dimensional space. Verification examples are given to validate the present model in handling dynamic behaviors of the steel frames and members under the transient actions. The distinct feature of the research is to propose an effective analytical framework using high-performance elements, dramatically improving the numerical efficiency and making the method being practical.

7. Conclusions

This paper presents an efficient numerical analysis framework for the dynamic time-history elastic analysis of three-dimensional steel frames using one-element-per-member model. The curved arbitrarilylocated-hinge (ALH) beam-column element is employed for simulating structural members, which is especially developed for the second-order design of steel frames fulfilled to the requirements in modern design codes like Eurocode 3 [12] and AISC 2010 [30] and so on. For improving the numerical efficiency, the internal DOFs are condensed. The present research focuses on studying the elastic behaviors of the system, while geometric nonlinearly, e.g. P-Δ-δ effects, large global deflections and local member deformations, are considered in the analysis. Consistent element mass matrix utilizing the Hemite interpolation function is proposed, and the Rayleigh damping model is employed. To solve the step-by-step equation to the dynamic motions, a direct time-integration method by the Newmark's algorithm is chosen. In describing the kinematic motion, the incremental secant stiffness method is introduced for allowing arbitrarily large rotations. Finally, several verification examples are given to verify and validate the presented numerical framework for solving dynamic time-integration problems. This research integrates the high-performance element into a robust numerical framework, and therefore, saving in the computational expense is apparent to make the current method being practical for practice.