Impacts of natural frequency and relative stiffness of stiffened plate on nonlinear dynamic response

名称	参数符号	名称	参数符号
带板长度	a /m	面板厚度	tf / m
带板宽度	$b$/ m	面板宽度	${b_{{\rm{f}}}}$/ m
带板厚度	${t_0}$/ m	泊松比	$\nu $
腹板高度	${h_{{\rm{w}}}}$/ m	杨氏模量	E/Pa
腹板厚度	${t_{{\rm{w}}}}$/ m	屈服极限	${\sigma _{{\rm{y}}}}$/${{\rm{MPa}}}$

Table 2. Comprehensive analysis of numerical simulation results and function fitting results

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Table 2. Comprehensive analysis of numerical simulation results and function fitting results

载荷频率/固有频率	w / t₀（模拟结果）	w / t₀（拟合方程结果）	误差/%
0.396 982 930	0.051 627 353	0.050 177 665	−2.81
0.696 699 040	0.035 591 706	0.036 670 459	3.03
1.028 827 754	0.006 882 353	0.007 430 000	7.91
1.048 789 697	0.011 333 333	0.010 600 000	−6.02
1.057 104 801	0.012 588 235	0.012 000 000	−4.95
1.068 010 936	0.015 000 000	0.013 700 000	−8.56
1.254 075 746	0.042 333 333	0.043 579 157	2.94
1.351 460 929	0.017 586 882	0.016 724 348	−4.90

Table 3. Maximum deflection of the key points on the stiffened plates with different parameters

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Table 3. Maximum deflection of the key points on the stiffened plates with different parameters

尺寸参数/m	K1点挠度/m	K2点挠度/m
$ {t_{w}} $= 0.008 0，$ {h_{w}} $= 0.03，t0 = 0.023	6.88×10−3	5.48×10−3
$ {t_{w}} $= 0.010 0，$ {h_{w}} $= 0.06，t0 = 0.022	4.85×10−3	3.90×10−3
$ {t_{w}} $= 0.009 0，$ {h_{w}} $= 0.07，t0 = 0.023	3.98×10−3	3.21×10−3
$ {t_{w}} $= 0.010 0，$ {h_{w}} $= 0.07，t0 = 0.023	3.88×10−3	3.13×10−3
$ {t_{w}} $= 0.012 0，$ {h_{w}} $= 0.10，t0 = 0.019	2.45×10−3	1.99×10−3
$ {t_{w}} $= 0.014 0，$ {h_{w}} $= 0.20，t0 = 0.016	5.25×10−5	1.11×10−4
$ {t_{w}} $= 0.016 0，$ {h_{w}} $= 0.30，t0 = 0.013	3.61×10−4	8.89×10−5
$ {t_{w}} $= 0.017 0，$ {h_{w}} $= 0.30，t0 = 0.012	1.18×10−3	3.98×10−5
$ {t_{w}} $= 0.017 5，$ {h_{w}} $= 0.30，t0 = 0.012	1.17×10−3	3.79×10−5
$ {t_{w}} $= 0.018 5，$ {h_{w}} $= 0.30，t0 = 0.012	1.15×10−3	3.42×10−5
$ {t_{w}} $= 0.021 0，$ {h_{w}} $= 0.30，t0 = 0.012	1.11×10−3	2.64×10−5
$ {t_{w}} $= 0.018 0，$ {h_{w}} $= 0.35，t0 = 0.011	2.30×10−3	9.14×10−9

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Wei JIANG, Guangwei HAN, Yan ZHANG. Impacts of natural frequency and relative stiffness of stiffened plate on nonlinear dynamic response[J]. Chinese Journal of Ship Research, 2023, 18(1): 223

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Paper Information

Category: Ship Structure and Fittings

Received: Sep. 4, 2021

Accepted: --

Published Online: Mar. 18, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.02515

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology