Design and Validation of a Multifunctional Fixture for Testing Vibration Transmissibility of Cushioning Materials

WEN Shibao; ZHOU Xiaomeng; SONG Fengjuan; YU Zhen; ZHANG Zhenxiu

doi:10.19554/j.cnki.1001-3563.2026.15.035

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Packaging Engineering ›› 2026, Vol. 47 ›› Issue (15) : 344-352. DOI: 10.19554/j.cnki.1001-3563.2026.15.035

Equipment Protection

Design and Validation of a Multifunctional Fixture for Testing Vibration Transmissibility of Cushioning Materials

WEN Shibao^1,*, ZHOU Xiaomeng¹, SONG Fengjuan², YU Zhen¹, ZHANG Zhenxiu¹

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Abstract

The work aims to design and develop a multifunctional vibration transmissibility test fixture to address the limitations of existing test fixtures for vibration transmissibility characteristics of cushioning materials, specifically regarding functionality, operability, and preload control, so as to improve the dynamic evaluation system for cushioning materials and guide practical cushioning packaging design. Based on an analysis of existing device deficiencies, a multifunctional test apparatus comprising a table-style support, a dumbbell-style mass system, and a precision pressure-adjustable clamping device was designed. This device resolved the misalignment issues of samples and mass block during vibration, balanced the need for easy mass adjustment with a low center of gravity, and enabled quantitative and accurate control of compressive stress on the upper layer of double-layer cushions. Sine sweep vibration tests were conducted on expanded polyethylene (EPE) cushioning materials under varying densities and static loads using this device to obtain transmissibility-frequency curves, thereby verifying the device's reliability and application characteristics. The data obtained using this device were proved stable and reliable. The study validated the rule that resonant frequency decreased with increasing static load and increased with material density. It revealed that in double-layer cushion tests, both resonant frequency and maximum vibration transmissibility increased with higher top clamping force. Furthermore, it was clarified that under identical static loads, the resonant frequency and maximum vibration transmissibility of double-layer cushions were higher than those of single-layer cushions. In conclusion, the device exhibits good structural rigidity and stable, reliable operation, capable of simultaneously meeting the testing requirements for both single-layer and double-layer cushions. Experimental results confirm the effectiveness of this device as a research platform for vibration transmissibility characteristics of cushioning materials, holding significant engineering practical value for guiding transport packaging structural design.

Key words

vibration transmissibility / fixture design / mass system / cushioning material / resonance frequency / packaging dynamics

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WEN Shibao, ZHOU Xiaomeng, SONG Fengjuan, YU Zhen, ZHANG Zhenxiu. Design and Validation of a Multifunctional Fixture for Testing Vibration Transmissibility of Cushioning Materials[J]. Packaging Engineering. 2026, 47(15): 344-352 https://doi.org/10.19554/j.cnki.1001-3563.2026.15.035

References

[1] 陈俊菲, 张元标, 林聪. 随机振动下产品包装系统的传递路径数值仿真与实验研究[J]. 振动工程学报, 2023, 36(6): 1633-1646.
CHEN J F, ZHANG Y B, LIN C.Numerical simulation and experimental study of the transfer path of product packaging system under random vibration[J]. Journal of Vibration Engineering, 2023, 36(6): 1633-1646.
[2] 林聪, 张元标, 陈俊菲, 等. 随机振动下产品包装系统减振优化研究[J]. 振动工程学报, 2024, 37(8): 1349-1358.
LIN C, ZHANG Y B, CHEN J F, et al.Vibration reduction optimization research of product packaging system under random vibration[J]. Journal of Vibration Engineering, 2024, 37(8): 1349-1358.
[3] WANG L J, ZHANG Q, SONG H Y, et al.Mechanical damage of 'huangguan' pear using different packaging under random vibration[J]. Postharvest Biology and Technology, 2022, 187: 1-10.
[4] 孙一鸣, 马先润, 张立军, 等. 猕猴桃电商包装随机振动响应及果品损伤研究[J]. 包装工程, 2023, 44(19): 67-74.
SUN Y M, MA X R, ZHANG L J, et al.Random Vibration Response and Damage of Kiwifruit E-commerce Packaging[J]. Packaging Engineering, 2023, 44(19): 67-74.
[5] BHIWAPURKAR M K, SARAN V H, HARSHA S P.Effects of vibration magnitude and posture on seat-to-head- transmissibility responses of seated occupants exposed to lateral vibration[J]. International Journal of Vehicle Noise and Vibration, 2016, 12(1): 826-838.
[6] 吕广庆, 王志伟. 产品-包装-运载体系统动态特性研究[J]. 包装工程, 2006, 27(1): 115-118.
LYU G Q, WANG Z W.Investigation on dynamic characteristics of a product-packaging-carrier system[J]. Packaging Engineering, 2006, 27(1): 115-118.
[7] 中国国家标准化管理委员会. 包装用缓冲材料振动传递特性试验方法: GB/T 8169—2008[S]. 北京: 中国标准出版社, 2008.
Standardization Administration of the People’s Republic of China. Testing method of vibration transmissibility for packaging cushioning materials: GB/T 8167-2008[S]. Beijing: Standards Press of China, 2008.
[8] US: Department of Defense. Package Cushioning Design[K]. MIL-HDBK-304B. US: Department of Defense, 1978: 118-122.
[9] US: Department of Defense. Package Cushioning Design[K]. MIL-HDBK-304C. US: Department of Defense, 1997: 30-32.
[10] 卢富德, 张绍云, 杜启祥. 发泡聚乙烯隔振性能研究[J]. 包装工程, 2011, 32(11): 1-4.
LU F D, ZHANG S Y, DU Q X.Study on vibration isolation performance of foamed polyethylene[J]. Packaging Engineering, 2011, 32(11): 1-4.
[11] 冯涛, 苏彬, 刘斌, 等. 泡沫材料厚度对其刚度及阻尼系数的影响[J]. 包装工程, 2012, 33(9): 37-40, 53.
FENG T, SU B, LIU B, et al.Experimental Research of Influences of Foam Material Thickness on Its Stiffness and Damping Coefficient. Packaging Engineering, 2012, 33(9): 37-40.
[12] SCHUENEMAN HERBERT H. Product-and- Package-Vibration-Testing[EB/OL]. (2016-04-01)[2024-04-12] https://www.westpak.com/images/pdf/Product-and-Package-Vibration-Testing-webinar-Mar-2016.pdf
[13] 刘功, 刘占胜, 康永刚. 缓冲材料阻尼特性的振动测试方法及研究[J]. 天津轻工业学院学报, 1994, (1): 21-24.
LIU G, LIU Z S, KANG Y G.Vibration testing method and research for the cushioning materials and their damping character[J]. Journal of Tianjin University of Science & Technology, 1994, (1): 21-24.
[14] SEK M A, ROUILLARD V, PARKER A.A study of nonlinear effects in a cushion-product system on its vibration transmissibility estimates with the reverse multiple input-single output technique[J]. Packaging Technology & Science, 2013, 26(3): 125-135.
[15] Csavajda P, Böröcz P.Effect of temperature changes on the vibration transmissibility of XPE and PE packaging cushioning material[J]. Applied Sciences, 2021, 11(482): 1-18.
[16] 李毅, 温时宝,于振, 等. 单层缓冲材料振动传递特性测试装置的设计与验证[J]. 实验力学, 2023, 38(05): 655-664.
LI Y, WEN S B, YU Z, et al.Design and verification of vibration transmissibility characteristics testing device for single-layer cushioning material[J]. Journal of Experimental Mechanics, 2023, 38(05): 655-664.
[17] 王帅, 夏益霖, 荣克林. 振动环境试验[M]. 北京: 国防工业出版社, 2006: 241-242.
WANG S, XIA Y L, RONG K L.Vibration Environment Testing[M]. Beijing: National Defense Industry Press, 2006: 241-242.
[18] 李旭健, 李和昌, 周玉宝, 等. 基于预紧力-扭矩修正公式的螺栓装配方法与连接均一性研究[J]. 机械, 2025, 52(08): 42-48.
LI X J, LI H C, ZHOU Y B, et al.Study on Bolt Assembly Method and Connection Homogeneity Based on Preload-Torque Correction Formula[J]. Machinery, 2025, 52(08): 42-48.
[19] 何争辉, 付志强, 黄利强, 等. 不同温度下EPE振动特性有限元分析[J]. 塑料, 2023(4): 111-115.
HE Z H, FU Z Q, HUANG L Q, et al.Finite Element Analysis of EPE Vibration Characteristics under Temperature Variation[J]. Plastics, 2023(4): 111-115.
[20] 宋卫生, 薛阳. 发泡聚乙烯最大加速度-静应力曲线快速获取方法研究[J]. 包装工程, 2024, 45(05): 309-314.
SONG W S, XUE Y.Rapid Acquisition Method of Maximum Acceleration-Static Stress Curve for Foamed Polyethylene[J]. Packaging Engineering, 2024, 45(5): 309-314.
[21] 李星占, 岳晓斌, 黄文, 等. 振动响应传递率及其工作模态分析方法综述[J]. 振动与冲击, 2019, 38(18): 24-34.
LI X Z, YUE X B, WEN H, et al.Vibration response transmissibility and operational modal analysis methods: a review and comparative study[J]. Journal of Vibration and Shock, 2019, 38(18): 24-34.
[22] PIERSOL A G, PAEZ T L.Harris’ Shock and Vibration[M]. 6th ed. New York: McGraw-Hill, 2010: 1.26.
[23] 何争辉. EPE缓冲材料振动过程数值模拟与实验研究[D]. 天津: 天津科技大学, 2022.
HE Z H.Numerical Simulation and Experimental Research on Vibration Process of EPE Cushioning Material[D]. Tianjin: Tianjin University of Science and Technology, 2022.
[24] 宋卫生, 于妞妞, 薛阳, 等. 发泡聚乙烯振动传递特性关系研究[J]. 包装工程, 2022, 43(5): 152-158.
SONG W S, YU N N, XUE Y, et al.Relationship Between Vibration Transmissibility of Expanded Polystyrene[J]. Packaging Engineering. 2022, 43(5): 152-158.
[25] 周健, 张丽, 王保升. 缓冲材料振动传递率的测试及非线性辨识[J]. 中国现代教育装备, 2010, (07): 77-80.
ZHOU J, ZHANG L, WANG B S.Testing and nonlinear identification of vibration transmissibility for cushioning materials[J]. China Modern Educational Equipment, 2010(7): 77-80.
[26] 苏远, 汤伯森. 缓冲包装理论基础与应用[M]. 北京: 化学工业出版社, 2006: 14, 19.
SU Y, TANG B S.Fundamental and Applications of Cushioning Packaging[M]. Beijing: Chemical Industry Press, 2006: 14, 19.