PSI - Issue 64

Jiantao Li et al. / Procedia Structural Integrity 64 (2024) 500–506 Author name / Structural Integrity Procedia 00 (2019) 000–000

503

4

proposed algorithm is shown in Fig. 2 and more details about the algorithm for recursively update of noise covariances can be found in Teymouri et al.(2022).

Fig. 2. Flowchart of the proposed method

4. Numerical investigation To verify the feasibility and accuracy of the proposed method, the CP response between vehicle and bridge from vehicle responses are investigated. A bridge with the length of 50 m is considered and its approach for entrance of the bridge is 60 m from the left point of the road profile. Other parameters of the bridge are: the density ρ =15720kg/m, the flexural stiffness EI=1.80e10 Nm 2 and the damping ratio 0.01. The first two bridge natural frequencies are 0.67 and 2.69Hz, respectively. The parameters of the test vehicle are listed in Table 1. The vehicle speed is 30 m/s and the sampling time interval is 0.01s.

Table 1. Physical parameters of the vehicle models. Property Unit

Symbol

Value 12000 12000 3600 2.4e5 2.4e5 6.0e4 6.04e 2.4e6 2.4e6

Bodymass

kg

m v

Pitch moment of inertia Mass of front/rear axle Stiffness of front suspension Stiffness of rear suspension Damping of front suspension Damping of rear suspension

kgm 2

Iv

kg

m 1 /m 2

N/m N/m

K s1 K s2 C s1 C s2 K t1 K t2

Ns/m Ns/m

Stiffness of front tyre Stiffness of rear tyre

N/m N/m

Axle distance

m

2.4

S

Axle distance ratio

0.417/0.583

a 1 /a 2

The responses of the vehicle body are used to estimate the unknown vehicle states related to the vehicle axles and the CP responses. A 10% Gaussian white noisy is added in the calculated responses to simulate the measurements. The identified displacement responses of the vehicle axles and CP responses using the proposed method are shown