Cell-based distributed NiTi-ST damping for dynamic vibration control of hourglass composite lattice sandwich beams

doi:10.1007/s10483-026-3423-9

Abstract

Abstract:

Hourglass composite lattice sandwich beams (HCLSBs) possess excellent stiffness-to-weight efficiency, yet their dynamic vibration response requires further investigation. This paper establishes a modified Timoshenko beam model with bending-shear coupling for HCLSBs. The vibration response is systematically analyzed by the Galerkin truncation method (GTM) combined with the harmonic balance method (HBM), and the modal characteristics are validated through the finite element analysis and impact hammer experiments on fabricated physical specimens. On this basis, two distributed passive damping schemes based on nitinol steel wire rope (NiTi-ST) are designed and compared, including embedded and cell-based configurations. Vibration experiments demonstrate that both schemes effectively attenuate resonant responses. However, the NiTi-ST cell configuration exhibits superior damping efficiency on a mass-normalized basis. The proposed modeling framework and the distributed damping strategy provide an effective solution for vibration suppression in lightweight lattice structures, holding significant potential for applications in structural dynamics and control engineering, particularly in aerospace component design.

Key words: composite lattice sandwich beam, hourglass truss core, cell-based damping, NiTi steel wire rope, theoretical-experimental validation

2010 MSC Number:

O326

Zhijian WANG, Jian ZANG, Xiaodong LI, Yewei ZHANG, Liqun CHEN. Cell-based distributed NiTi-ST damping for dynamic vibration control of hourglass composite lattice sandwich beams. Applied Mathematics and Mechanics (English Edition), 2026, 47(9): 1969-1990.

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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-026-3423-9

https://www.amm.shu.edu.cn/EN/Y2026/V47/I9/1969

Figures/Tables 20

Fig. 1

Fig. 2

Table 1

Mechanical properties of the carbon fiber composite material[28]"

Item	Description	Value
Length	L	270 mm
Width	B	40 mm
Young’s moduli	E₁	87.12 GPa
Young’s moduli	E₂	7.46 GPa
Shear modulus	$G 12$	11.23 GPa
Poisson’s ratio	$μ 12$	0.32
Density	ρ	1.512 g/cm³

Table 1

Fig. 3

Fig. 4

Table 2

Geometric parameters of the unit cell of the hourglass lattice sandwich truss core"

Item	Description	Value
Length of a single strut	l	20.506 mm
Width of a single strut	$l w$	3 mm
Width of the wide platform	b	10 mm
Width of the narrow platform	c	4.514 mm
Height of the opened platform	$h a$	2 mm
Height of the unopened platform	$h b$	2 mm
Inclination angle of the strut	θ	45°
Unit-cell angle	$φ$	45°

Table 2

Fig. 5

Table 3

Nonlinear mechanical parameters of NiTi-ST[29]"

Configuration	$k 1 / (N ⋅ m − 1)$	$k 3 / (N ⋅ m − 3)$	$c 1 / (N ⋅ s ⋅ m − 1)$	$r 21 / (N ⋅ s ⋅ m − 3)$	$r 12 / (N ⋅ s 2 ⋅ m − 3)$
1	1 167.8	$1.42 × 108$	28.76	$2.352 × 106$	$− 5.305 × 104$
2	1 183.2	$2.33 × 108$	21.12	$1.394 × 106$	$− 4.804 × 104$
3	1 265.4	$7.57 × 108$	22.48	$1.696 × 106$	$− 4.205 × 104$

Table 3

Fig. 6

Fig. 7

Fig. 8

Fig. 9

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Fig. 11

Fig. 12

Fig. 13

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Fig. 17

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