MODAL ANALYSIS OF PARABOLIC TROUGH SOLAR COLLECTOR BASED ON MODAL PARTICIPATION FACTOR

Yang Yuke, Sun Beibei

Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (8) : 260-269.

PDF(5374 KB)
Welcome to visit Acta Energiae Solaris Sinica, Today is
PDF(5374 KB)
Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (8) : 260-269. DOI: 10.19912/j.0254-0096.tynxb.2025-0577

MODAL ANALYSIS OF PARABOLIC TROUGH SOLAR COLLECTOR BASED ON MODAL PARTICIPATION FACTOR

  • Yang Yuke, Sun Beibei
Author information +
History +

Abstract

To address the research demand for the vibration characteristics of parabolic trough solar collectors, the theoretical expressions for modal participation factors and cumulative effective mass participation ratios are derived based on the differential equations of motion in structural dynamics. In finite element modal analysis, the modal truncation criterion requiring the cumulative effective mass participation ratio to reach 90% is adopted to determine the number of modes to extract, and computational modal parameters under different pitch angles are obtained. Concurrently, field modal tests are conducted on a parabolic trough solar collector prototype to obtain experimental modal parameters under multiple operating conditions. The results show that extracting the first 15 modes yields a cumulative effective mass participation ratio of 91.20%, which satisfies the engineering requirement for dynamic analysis. The corresponding mode shapes from tests and simulations are highly consistent, with a maximum relative error of 3.86% for natural frequencies, thus effectively validating the applicability of the established finite element model.

Key words

solar collectors / vibration measurement / mesh independence analysis / natural frequencies / modal mode shape / modal participation factor

Cite this article

Download Citations
Yang Yuke, Sun Beibei. MODAL ANALYSIS OF PARABOLIC TROUGH SOLAR COLLECTOR BASED ON MODAL PARTICIPATION FACTOR[J]. Acta Energiae Solaris Sinica. 2026, 47(8): 260-269 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0577

References

[1] Zou Q, Tang H Y, Zou F, et al.Wind-induced response and stow position analysis of the flat roof parabolic solar collector[J]. Energy Technology, 2022, 10(11): 2200589.
[2] 刘欣然, 张宁, 徐熙平, 等. 平板型太阳能聚光器的静力分析和模态分析[J]. 光子学报, 2018, 47(7): 0712004.
Liu X R, Zhang N, Xu X P, et al.Static analysis and modal analysis of planar solar concentrator[J]. Acta Photonica Sinica, 2018, 47(7): 0712004.
[3] Vásquez-Arango J F, Buck R, Pitz-Paal R. Dynamic properties of a heliostat structure determined by numerical and experimental modal analysis[J]. Journal of Solar Energy Engineering, 2015, 137(5): 051001.
[4] 鄂加强, 张庆玲, 杨文明, 等. 碟式太阳能热发电系统流固耦合模态分析[J]. 中南大学学报(自然科学版), 2015, 46(9): 3546-3552.
E J Q, Zhang Q L, Yang W M, et al. Modal analysis on dish solar thermal power system considering fluid-solid interaction[J]. Journal of Central South University(Science and Technology), 2015, 46(9): 3546-3552.
[5] JGJ 3—2010 高层建筑混凝土结构技术规程[S].
JGJ 3—2010 Technical specification for concrete structures of tall building[S].
[6] GB/T 50011—2010 建筑抗震设计标准(2024年版)[S].
GB/T 50011—2010 Code for seismic design of buildings[S].
[7] Zhou Y D, Zeng W L, Sun Y C, et al.A numerical insight into stress mode shapes of rectangular thin-plate structures[J]. Mechanics Based Design of Structures and Machines, 2023, 51(5): 2655-2680.
[8] Berrabah A T, Attia A, Habib D M, et al.Effect of dam-rock foundation interaction modeling on the modal ratio-related quantity of Beni behdel and ‘el mefrouch multi-arch dams[J]. Acta Mechanica et Automatica, 2023, 17(3): 452-459.
[9] Gao B, Bai Z H, Song Y B.Optimal three-dimensional sensor placement for cable-stayed bridge based on dynamic adjustment of attenuation factor gravitational search algorithm[J]. Shock and Vibration, 2021, 2021(1): 6664188.
[10] Sharma A, Nallasivam K.Modal analysis of concrete gravity dam incorporating pre-stress condition along with soil-structure interaction[J]. World Journal of Engineering, 2026, 23(1): 118-137.
[11] 刘江涛. 槽式聚光太阳能集热系统风载特性及热力性能研究[D]. 昆明: 云南师范大学, 2019.
Liu J T.Wind load characteristics and thermal performance of trough concentrating solar energy system[D]. Kunming: Yunnan Normal University, 2019.
[12] Zuo H Y, Tan J Q, Wei K X, et al.Effects of different poses and wind speeds on wind-induced vibration characteristics of a dish solar concentrator system[J]. Renewable Energy, 2021, 168: 1308-1326.
[13] Malan A, Kumar K R.Investigation on wind-structure interaction of large aperture parabolic trough solar collector[J]. Renewable Energy, 2022, 193: 309-333.
[14] Khizer M, Chen J W, Yang G W, et al.Seismic and stress qualification of LMFR fuel rod and simple method for the determination of LBE added mass effect[J]. Nuclear Science and Techniques, 2019, 31(1): 5.
[15] 徐阳, 吴红华, 匡荛, 等. 槽式聚光器结构模态实测研究[J]. 太阳能学报, 2018, 39(1): 14-21.
Xu Y, Wu H H, Kuang R, et al.Experimental study on the modal of trough concentrator strcture[J]. Acta Energiae Solaris Sinica, 2018, 39(1): 14-21.
[16] Zou Q, Li Z N, Wu H H.Modal analysis of trough solar collector[J]. Solar Energy, 2017, 141: 81-90.
[17] Griffith D T, Moya A C, Ho C K, et al.Structural dynamics testing and analysis for design evaluation and monitoring of heliostats[J]. Journal of Solar Energy Engineering, 2015, 137(2): 021010.
[18] Bao T, Li Z N, Pu O, et al.Modal analysis of tracking photovoltaic support system[J]. Solar Energy, 2023, 265: 112088.
PDF(5374 KB)

Accesses

Citation

Detail

Sections
Recommended

/