A seismic impact response analysis method for engineering structures

Abstract

The invention discloses an earthquake impact response analysis method for engineering structures, which relates to the technical field of civil engineering, in particular, the method comprises the following steps: when a structure is in an elastic state, a total equation precise integration formula is adopted for recursive solution; when a plastic state is in an incremental equation precise integration formula for recursive solution; when a structure is in an elastic state, the total equation precise integration formula is adopted for recursive solution; when the elasto-plastic state is transformed, the exact moment of the transition is solved, and the first time step after the transition is solved by the total equation iteration; for the current time step, whether the structure produces contact collision or not is judged; if the collision occurs, the accurate collision time is solved, and the collision force is introduced from this time point, and the recursive calculation of the dynamic equation in the collision stage is carried out until the collision is over; the integral step size of the structure in the collision state is smaller than that in the separation state, which further improves the computational efficiency. Compared with the traditional implicit or explicit integration method, the method is unconditionally stable, computational efficiency is high, accuracy is close to the analytical solution, and the seismic collision process can be accurately simulated.

Description

Technical field [0001] The invention relates to the technical field of civil engineering, in particular to a seismic collision response analysis method for engineering structures. Background technique [0002] Earthquakes are one of the most serious natural disasters faced by mankind. Because of their huge destructive power, they often cause huge loss of life and property. The earthquake resistance of engineering structures has always been valued by people. As people continue to understand the phenomena and mechanisms of earthquake damage such as bridges and buildings, the theory and practice of seismic design are also constantly deepening. Among the earthquake damage phenomena of many engineering structures, the collision phenomenon caused by the displacement of adjacent structures exceeding the reserved gap of the structure and the structural damage caused by the collision are very common. [0003] The collision damage phenomenon of engineering structures has attracted the atte...

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Problems solved by technology

However, this method also has shortcomings. First, the method is conditionally stable, and the time step is limited by the stability of numerical integration. When using it, the time step should be small enough to greatly increase the number of integration points; Only when the matrix is ​​a diagonal matrix can it play an advantage

[0007] The traditional implicit algorithm or explicit algorithm only has second-order or third-order accuracy. The theoretical basis of the algorithm determines that it has "algorithmic damping", which leads to energy dissipation of the system, which is specifically manifested as period extension and amplitude with the increase of integration time. attenuation

It has been proved theoretically that the root cause of energy dissipation in traditional numerical methods is that it has a dissipative truncation term

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