Reinforcement and homogenization of non-orthogonality stiffening on dynamic stiffness of stiffened plates

Dong TANG; Maohui RAN; Zitong MA; Hao WANG; Feng LUO

doi:10.19693/j.issn.1673-3185.03402

Chinese Journal of Ship Research, Volume. 19, Issue 5, 148(2024)

Reinforcement and homogenization of non-orthogonality stiffening on dynamic stiffness of stiffened plates

Dong TANG^1,2, Maohui RAN¹, Zitong MA¹, Hao WANG¹, and Feng LUO^1,2

Author Affiliations

¹College of Harbour, Coastal and Offshore Engineering, Hohai University, Nanjing 210024, China

²Nantong Ocean and Coastal Engineering Research Institute, Hohai University, Nantong 226004, China

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Figures & Tables(8)

Fig. 1. [in Chinese]

Fig. 2. [in Chinese]

Fig. 3. [in Chinese]

Fig. 4. [in Chinese]

Table 1. Natural frequencies of orthogonal stiffened plate model under different mesh sizes

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Table 1. Natural frequencies of orthogonal stiffened plate model under different mesh sizes

网格属性		最大相差百分比/%	(m, n) 阶固有频率/Hz
尺寸/m	数量	最大相差百分比/%	(1, 1)	(2, 2)	(3, 3)	(4, 4)
0.010	11 000	−	158.61	381.81	702.45	1 167.21
0.009	14 616	0.081	158.56	381.65	702.08	1 166.26
0.008	17 136	0.036	158.54	381.59	701.91	1 165.84
0.007	22 776	0.053	158.51	381.49	701.66	1 165.22
0.006	30 600	0.041	158.49	381.42	701.47	1 164.74
0.005	42 000	0.035	158.47	381.35	701.30	1 164.33
0.004	65 000	0.034	158.44	381.27	701.13	1 163.93
0.003	116 256	0.029	158.42	381.21	700.99	1 163.59
0.002	255 000	0.004	158.41	381.21	700.98	1 163.54

Table 2. Natural frequencies and variation rates of three types of stiffened plates with various thicknesses at (m, n) = (2, 2) modal order

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Table 2. Natural frequencies and variation rates of three types of stiffened plates with various thicknesses at (m, n) = (2, 2) modal order

板厚h/m	板−梁弯曲刚度比/m⁻¹	加筋形式
		正交加筋板		倾斜加筋板		弯曲加筋板
		固有频率/Hz	变化率	固有频率/Hz	变化率	固有频率/Hz	变化率
0.004	0.88	241.28	−	287.34	−	232.76	−
0.005	1.72	252.85	13.77	292.87	6.58	253.62	24.80
0.006	2.97	270.98	14.50	304.71	9.47	276.18	18.05
0.007	4.71	294.03	13.25	321.86	9.86	301.12	14.33
0.008	7.03	320.65	11.47	343.29	9.24	328.27	11.70
0.009	10.01	349.85	9.80	368.05	8.31	357.24	9.72
0.010	13.74	380.89	8.32	395.36	7.32	387.71	8.17
0.011	18.28	413.27	7.13	424.61	6.44	419.36	6.97
0.012	23.74	446.60	6.10	455.32	5.62	451.93	5.97
0.013	30.18	480.62	5.28	487.14	4.94	485.23	5.17
0.014	37.69	515.14	4.60	519.80	4.35	519.07	4.56
0.015	46.36	550.01	4.02	553.10	3.84	553.33	3.95
0.016	56.26	585.14	3.55	586.88	3.41	587.91	3.49
0.017	67.49	620.42	3.14	621.02	3.04	622.71	3.10
0.018	80.11	655.82	2.81	655.42	2.73	657.66	2.77
0.019	94.22	691.26	2.51	690.01	2.45	692.73	2.49
0.020	109.89	726.73	2.26	724.73	2.22	727.85	2.24
0.021	127.21	762.18	2.05	759.52	2.01	763.00	2.03

Table 3. Natural frequencies of the three types of stiffened plates with various thicknesses at different (m, n) modal orders

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Table 3. Natural frequencies of the three types of stiffened plates with various thicknesses at different (m, n) modal orders

模态阶数(m, n)	固有频率f / Hz
	h = 0.007 m			h = 0.009 m			h = 0.011 m
	正交加筋板	倾斜加筋板	弯曲加筋板	正交加筋板	倾斜加筋板	弯曲加筋板	正交加筋板	倾斜加筋板	弯曲加筋板
(1, 1)	39.16	42.95	39.61	45.84	48.58	46.51	53.76	55.78	54.40
(2, 2)	156.38	171.04	157.82	183.10	193.84	185.63	214.71	222.67	217.16
(3, 3)	350.95	377.78	352.78	411.00	432.05	415.88	481.75	497.82	486.77
(4, 4)	621.90	672.18	626.72	728.22	770.28	737.87	852.74	886.74	862.71
(5, 5)	972.84	1 030.90	959.17	1 117.10	1 192.70	1 140.80	1 290.90	1 376.20	1 337.80

Table 4. Percentage increase in natural frequencies of non-orthogonality stiffened plate relative to those of orthogonally stiffened plate

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Table 4. Percentage increase in natural frequencies of non-orthogonality stiffened plate relative to those of orthogonally stiffened plate

模态阶数(m, n)	固有频率增加的百分比/%
	h = 0.007 m		h = 0.009 m		h = 0.011 m
	倾斜加筋板	弯曲加筋板	倾斜加筋板	弯曲加筋板	倾斜加筋板	弯曲加筋板
(1, 1)	9.68	1.15	5.98	1.46	3.76	1.19
(2, 2)	9.37	0.92	5.87	1.38	3.71	1.14
(3, 3)	7.65	0.52	5.12	1.19	3.34	1.04
(4, 4)	8.08	0.78	5.78	1.33	3.99	1.17
(5, 5)	5.97	–1.41	6.77	2.12	6.60	3.63

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Dong TANG, Maohui RAN, Zitong MA, Hao WANG, Feng LUO. Reinforcement and homogenization of non-orthogonality stiffening on dynamic stiffness of stiffened plates[J]. Chinese Journal of Ship Research, 2024, 19(5): 148

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Paper Information

Category: Ship Structure and Fittings

Received: Jun. 7, 2023

Accepted: --

Published Online: Mar. 14, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.03402

Topics

laser devices and laser physics

Lasers and Laser Optics

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laser manufacturing

Instrumentation, Measurement and Metrology