Design and Performance of a Tuned Vibration Absorber for a Full-Scale Lightweight FRP Pedestrian Structure

Data Availability Statement

Acknowledgments

Notation

$a_{peak,nth}$

peak acceleration of the nth percentile (m/s²);

A

cross section area (mm²);

A_w

cross section area for shear (mm²);

a_lim

acceleration limit (m/s²);

$a_{peak}$

maximum acceleration (m/s²);

$a_{peak,nth}$

peak acceleration of nth percentile (m/s²);

b_C

strip width (mm);

b_f

flange width (mm);

d

density of pedestrians (pedestrians/m²);

E_c1

compressive modulus of GFRP in Direction 1 (GPa);

E_c2

compressive modulus of GFRP in Direction 2 (GPa);

E_t1

tensile modulus of GFRP in Direction 1 (GPa);

E_t1C

tensile modulus of CFRP in Direction 1 (GPa);

E_t2

tensile modulus of GFRP in Direction 2 (GPa);

F_c1

compressive strength of GFRP in Direction 1 (MPa);

F_c1C

compressive strength of CFRP in Direction 1 (MPa);

F_c2

compressive strength of GFRP in Direction 2 (MPa);

F_f1

flexural strength of GFRP in Direction 1 (MPa);

F_f2

flexural strength of GFRP in Direction 2 (MPa);

F_h

resulting force acting on structure (N);

F_ha

human force without considering structure movement (N);

F_hsi

human interacting force (N);

F_p1

pin bearing strength of GFRP in Direction 1 (MPa);

F_p2

pin bearing strength of GFRP in Direction 2 (MPa);

F_T12

shear strength perpendicular to plane 12 (MPa);

F_t

force transmitted from TVA to structure (N);

F_t1

tensile strength of GFRP in Direction 1 (MPa);

F_t1C

tensile strength of CFRP in Direction 1 (MPa);

F_t2

tensile strength of GFRP in Direction 2 (MPa);

F₁₂

in-plane shear strength (MPa);

F₆

interlaminar shear strength (MPa);

f_a

frequency of human action (Hz);

f_h

natural frequency of person (Hz);

f_s

natural frequency of structure (Hz);

f_t

natural frequency of TVA (Hz);

G_CL

TF of human–structure–controller system (m/(s² N));

G_H

TF between human driving force and F_ha (N/N);

G_HSI

TF related to interaction phenomenon (N/(m s²));

G_S

TF of structural system (m/(s² N));

G_T

TF of inertial controller (N/(m s²));

G₁₂

in-plane shear modulus (GPa);

GLF

generated load factor;

H_∞

maximum value of TF (N/(m s²));

h

depth of profile (mm);

I_y

moment of inertia with respect to major axis (mm⁴);

I_z

moment of inertia with respect to minor axis (mm⁴);

J

objective function;

j

imaginary unit;

MTVV

maximum transient vibration value (m/s²);

m_h

mass of pedestrian (kg);

m_s

modal mass of structure (kg);

m_t

inertial mass of TVA (kg);

$\mathcal{N}$

normal distribution;

N_r

number of considered harmonics;

P

number of multivariate stochastic samples;

p

multivariate stochastic sample;

s

Laplace variable;

t_C

thickness of strip (mm);

t_f

thickness of flange (mm);

t_w

thickness of web (mm);

$\mathcal{W}$

Weibull distribution;

W_h

weight of pedestrian (N);

w

weight of panel per unit of area (kg/m²);

X_s

Laplace transform of structural displacement;

${\ddot{x}}_s$

acceleration of structure (m/s²);

z_fac

vector containing GLF₂ and GLF₃;

z_h

vector containing parameters of human body;

z_s

vector containing modal parameters of structure;

z_t

vector containing parameters of TVA;

ζ_h

damping ratio of human body (%);

ζ_s

damping ratio of structure (%);

ζ_t

damping ratio of TVA (%);

ν₁₂

in-plane Poisson’s ratio 12;

ν₂₁

in-plane Poisson’s ratio 21;

ω

angular frequency (rad/s);

ω_h

angular frequency of human body (rad/s);

ω_s

angular frequency of structure (rad/s); and

ω_t

angular frequency of TVA (rad/s).

References