北京林业大学学报2026，Vol.48Issue(4)：183-192,10.DOI:10.12171/j.1000-1522.20250464
面向家具工程设计的搁板蠕变变形预测模型
A creep deformation prediction model for shelf boards in furniture engineering design
摘要
Abstract
[Objective]To enhance the long-term service safety and design reliability of solid wood furniture shelves,this study investigates the creep behavior of black walnut(Juglans nigra)edge-glued boards under sustained loading and develops a creep constitutive model and performance prediction methodology suitable for shelf durability design and deformation forecasting.[Method]We conducted a 42-day three-point bending creep test to examine the viscoelastic response of the material under characteristic stress levels of 2%fm,6%fm,and 10%fm(fm is the average modulus of rupture).Using nonlinear fitting,we comparatively evaluated the goodness-of-fit of the power-law model,the standard linear solid model,and the Burgers model.Based on parameter evolution analysis,we established a generalized creep constitutive equation that accounts for stress dependence and proposed an optimized structural parameter design method for solid wood shelves grounded in long-term deformation control thresholds.[Result](1)The Burgers model emerged as the optimal constitutive model(R2>0.992;RMSE ranging from 1.88×10-6 to 7.71×10-6),effectively capturing instantaneous elasticity,delayed elasticity,and steady-state viscous flow.(2)Model parameters exhibited pronounced stress dependence:the delayed elastic modulus increased exponentially with stress,while the relaxation time decayed following a power law,indicating a transition from quasi-linear creep at low stress to nonlinear creep at high stress.The proposed generalized constitutive model accurately predicted long-term deformation across the stress range of 2%fm to 10%fm.(3)The parameter optimization method derived from this model enables scientific determination of critical dimensions(such as thickness and span)for furniture shelves based on target service life and allowable deformation,thereby facilitating performance-driven precision design.[Conclusion]This study establishes a mapping framework from material-level creep parameters to component-level design parameters.The proposed model and optimization methodology offer theoretical tools for the durability design and safety assessment of solid wood furniture shelves,supporting a paradigm shift in furniture engineering from empirical practices toward predictive performance-based design.关键词
家具设计/实木搁板/蠕变/本构模型/Burgers模型/耐久性设计/变形预测Key words
furniture design/solid wood shelf/creep/constitutive model/Burgers model/durability design/deformation prediction分类
轻工纺织引用本文复制引用
廉河源,常乐,张帆,康露璐,许诗怡,王玉洁,梁爽..面向家具工程设计的搁板蠕变变形预测模型[J].北京林业大学学报,2026,48(4):183-192,10.基金项目
实木定制家具柜类产品的用户研究与产品设计系统搭建策略项目(2025HXZXCLXY027),北京市级大学生创新创业训练计划项目(202510022370). （2025HXZXCLXY027）
